Maths-
General
Easy

Question

What is the equation of a line that passes through (0.5 , 4.25 ) and (2, 18.5) and has a y intercept of - 0.5

hintHint:

Use slope intercept form

The correct answer is: 2y = 19x – 1 or 19x – 2y = 1


    SOL – It is given that the line passes through (0.5 , 4.25 ) and (2, 18.5)
    Slope = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
              = fraction numerator 18.5 minus 4.25 over denominator 2 minus 0.5 end fraction  =  fraction numerator 14.25 over denominator 1.5 end fraction =  9.5
    y – intercept, c = - 0.5
    Using slope – intercept form, equation of the line is

    y = mx + c

    y = 9.5x – 0.5

    2y = 19x – 1 or 19x – 2y = 1

    Related Questions to study

    General
    Maths-

    Solve the system of equations by elimination :
    2X + 5Y = - 20
    3X - 2Y = - 11

    Solve the system of equations by elimination :
    2X + 5Y = - 20
    3X - 2Y = - 11

    Maths-General
    General
    Maths-

    Use Substitution to solve each system of equations :
    Y = 3X - 8
    Y = 13 - 4X

    Use Substitution to solve each system of equations :
    Y = 3X - 8
    Y = 13 - 4X

    Maths-General
    General
    Maths-

    Some eighth graders are making muffins for a fund raiser. They have already made 200 muffins and figure they can make 40 muffins in an hour.
    a) Write a linear function in the form Y= mx + b that represents the total no. of muffins the students will make, y, and the number of additional hours spent making the muffins ,x.
    b) How many additional hours would the students spend to make 640 muffins?

    Some eighth graders are making muffins for a fund raiser. They have already made 200 muffins and figure they can make 40 muffins in an hour.
    a) Write a linear function in the form Y= mx + b that represents the total no. of muffins the students will make, y, and the number of additional hours spent making the muffins ,x.
    b) How many additional hours would the students spend to make 640 muffins?

    Maths-General
    parallel
    General
    Maths-

    Find the odd one out.



     

    Find the odd one out.



     

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    2Y - 3X =0
    Y = -1.5X-1

    Solve the following by using the method of substitution
    2Y - 3X =0
    Y = -1.5X-1

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    5X + 6Y = - 6
    7X - 3Y = - 54

    Solve the system of equations by elimination :
    5X + 6Y = - 6
    7X - 3Y = - 54

    Maths-General
    parallel
    General
    Maths-

    An international food festival charges for admission and for each sample of food. Admission and 3 samples cost $ 5.75. Admission and 6 samples cost $ 8.75. Write a linear function that represents the cost ,y , for any number of samples x?

    An international food festival charges for admission and for each sample of food. Admission and 3 samples cost $ 5.75. Admission and 6 samples cost $ 8.75. Write a linear function that represents the cost ,y , for any number of samples x?

    Maths-General
    General
    Maths-

    Use Substitution to solve each system of equations :
    Y = 2X - 4
    3X - 2Y = 1

    Use Substitution to solve each system of equations :
    Y = 2X - 4
    3X - 2Y = 1

    Maths-General
    General
    Maths-

    The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. What is the constant rate of change? What does it represent ? What is the initial value ? What might that represent?

    The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
    Often plotted along the horizontal axis represents the independent variable, x label or not. The majority of linear equations are functions. Alternatively, there is just one value of y for every value of x. You can calculate the value of the dependent variable, y, once the independent variable, x, has been given a value.

    The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. What is the constant rate of change? What does it represent ? What is the initial value ? What might that represent?

    Maths-General

    The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
    Often plotted along the horizontal axis represents the independent variable, x label or not. The majority of linear equations are functions. Alternatively, there is just one value of y for every value of x. You can calculate the value of the dependent variable, y, once the independent variable, x, has been given a value.

    parallel
    General
    Maths-

    When Using substitution to solve system of equations that have no solution or infinitely many solutions, the variables are the same on both sides , How is the solution determined by the constants in the equations?

    When Using substitution to solve system of equations that have no solution or infinitely many solutions, the variables are the same on both sides , How is the solution determined by the constants in the equations?

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    fraction numerator X minus 2 Y over denominator 2 end fraction equals 0
    Y = 0.5X + 3

    Solve the following by using the method of substitution
    fraction numerator X minus 2 Y over denominator 2 end fraction equals 0
    Y = 0.5X + 3

    Maths-General
    General
    Maths-

    Recommendations for safely thawing a frozen turkey are provided on the packaging
    a) What is thaw rate of the turkey in hours per pound for refrigerator thawing ? For cold water thawing ?
    b) Write a linear function in the form y = mx + b to represent the time ,t, in hours , it takes to thaw a turkey in the refrigerator as a function of the weight ,W, in pounds of the turkey.

    Recommendations for safely thawing a frozen turkey are provided on the packaging
    a) What is thaw rate of the turkey in hours per pound for refrigerator thawing ? For cold water thawing ?
    b) Write a linear function in the form y = mx + b to represent the time ,t, in hours , it takes to thaw a turkey in the refrigerator as a function of the weight ,W, in pounds of the turkey.

    Maths-General
    parallel
    General
    Maths-

    Solve the system of equations by elimination :
    7X - 4Y = - 12
    X - 2Y = 4

    Solve the system of equations by elimination :
    7X - 4Y = - 12
    X - 2Y = 4

    Maths-General
    General
    Maths-

    Find the possible values of x for which the angle (2𝑥 − 10) ° will be an acute angle.

    Find the possible values of x for which the angle (2𝑥 − 10) ° will be an acute angle.

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    Y= 5X-1
    Y=fraction numerator 11 minus 3 X over denominator 2 end fraction

    Solve the following by using the method of substitution
    Y= 5X-1
    Y=fraction numerator 11 minus 3 X over denominator 2 end fraction

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.