Question
The linear equation, among the following, passing through the points (0, 1) and (5, 0) is
- x + 5y = 5
- 5x + y = 5
- x – 5y = 5
- 5x - y = 5
Hint:
A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Here, we have to write the equation of the line which can be done by using the points given in the question.
The correct answer is: x + 5y = 5
In the question the given points are (0,1) and (5,0).
We have to find the equation of the line passing through the points (0,1) and (5,0).
Step 1: Find the slope of the line joining the points.
Let the points (0,1) and (5,0) be 
On putting the value of 
in 
, we get
So, the slope is 
.
Step 2: Find the intercept of the line.
Put the value of slope, 
in y= mx+c.
y= mx+c
So, the intercept of the line is 1.
Step 3: Put the values of m and c in y= mx+c.
Equation of line is y= mx+c.
So, the equation of line joining the points (0,1) and (5,0) is x+5y=5.
Therefore, the correct option is a, i.e., x+5y=5.
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept. Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula , where m is the slope of the line, are the coordinates of the two points.
Related Questions to study
The sum of slopes of line equations y = 2x & y = 
x is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The sum of slopes of line equations y = 2x & y = x is
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The linear equation that have slope 
is
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept.
The linear equation that have slope is
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept.
The slope of the line joining (20, 60) & (21, 90) is
Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula , where m is the slope of the line, 
are the coordinates of the two points.
The slope of the line joining (20, 60) & (21, 90) is
Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula , where m is the slope of the line, are the coordinates of the two points.
The slope of the equation y = -0.5x is
A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The slope of the equation y = -0.5x is
A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
The equation among the following that have no solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
The equation among the following that have no solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
The solution of the equation “Quarter of a number when added to 5 is same as twice the number added to 1”
Quarter is the one forth or 
of a given quantity or number
The solution of the equation “Quarter of a number when added to 5 is same as twice the number added to 1”
Quarter is the one forth or of a given quantity or number
If quarter of the number is same as the five added to the number, then the number is
Quarter is the one forth or of a given quantity or number.
If quarter of the number is same as the five added to the number, then the number is
Quarter is the one forth or of a given quantity or number.
The equation that has no solution among the following is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
The equation that has no solution among the following is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
The teacher asks the students to give an equation. The equations are as follows
Robert: 2 times a number is 2 greater than the number
Bob: 3 times a number is 3 is greater than the number
Col: 4 added to a number is the same as 5 added to a number
Sam: 4 times a number is the same as 5 times a number
The student who gave an equation that has 0 as the solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation has no solution if it has same terms on both sides of the equation. Like terms in an equation are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The teacher asks the students to give an equation. The equations are as follows
Robert: 2 times a number is 2 greater than the number
Bob: 3 times a number is 3 is greater than the number
Col: 4 added to a number is the same as 5 added to a number
Sam: 4 times a number is the same as 5 times a number
The student who gave an equation that has 0 as the solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation has no solution if it has same terms on both sides of the equation. Like terms in an equation are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
In a race, rabbit jumps 2 feet distance for every jump. The distance between point A to B is 160 feet. The rabbit initially started from the midway of A to B. The total number of jumps does the rabbit need to make to reach to point B is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
In a race, rabbit jumps 2 feet distance for every jump. The distance between point A to B is 160 feet. The rabbit initially started from the midway of A to B. The total number of jumps does the rabbit need to make to reach to point B is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
Teacher asked students the number of solutions of 25(x + 1) = 5(5x + 2) +15, the answers the students responded are
Katty: The solution is x = 2
Katherine: The equation has no solution
Steve: The equation has infinitely many solutions
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
Teacher asked students the number of solutions of 25(x + 1) = 5(5x + 2) +15, the answers the students responded are
Katty: The solution is x = 2
Katherine: The equation has no solution
Steve: The equation has infinitely many solutions
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
A transport company charges $10 for the deal and 25 cents for every one kg of apples. The total transport company charged David is $100. The total weight he transported is
Dollar is the official currency of America. It is represented by $ or US$ (more specific). One dollar is made up of 100 cents. Dollar is used or accepted in many countries.
A transport company charges $10 for the deal and 25 cents for every one kg of apples. The total transport company charged David is $100. The total weight he transported is
Dollar is the official currency of America. It is represented by $ or US$ (more specific). One dollar is made up of 100 cents. Dollar is used or accepted in many countries.
Justin proposed an offer of chocolate to whoever guesses the number he chose correctly. He gives them a clue:” Five times the number is 5 more than the number.” The number Justin chose is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
Justin proposed an offer of chocolate to whoever guesses the number he chose correctly. He gives them a clue:” Five times the number is 5 more than the number.” The number Justin chose is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The solution of the equation 2x + 7 = 2(x + 3) + 1
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The solution of the equation 2x + 7 = 2(x + 3) + 1
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The teacher asked the student to give a statement for the linear equation, the response she got is “ twice of five times a number is added with 3 is same as ten times a number being added to 6.” The number for the above statement is
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The teacher asked the student to give a statement for the linear equation, the response she got is “ twice of five times a number is added with 3 is same as ten times a number being added to 6.” The number for the above statement is
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
