Mathematics
Grade-8
Easy

Question

The slope of the line joining (0, 0) & (5, 4) is

  1. 0
  2. 4 over 5
  3. 5 over 4
  4. infinity

hintHint:

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 slope of the line which can be done by using the points given in the question.

The correct answer is: 4 over 5


    In the question the given points are (0,0) and (5,4).
    Here, we have to find the slope of the line joining the given points.
    Let (0,0) and (5,4) be open parentheses x subscript 1 comma y subscript 1 close parentheses space a n d space open parentheses x subscript 2 comma y subscript 2 close parentheses space r e s p e c t i v e l y.
    Put the values of x subscript 1 comma space y subscript 1 comma x subscript 2 space a n d space y subscript 2 space i n space m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction.
    m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
rightwards double arrow m equals fraction numerator 4 minus 0 over denominator 5 minus 0 end fraction
rightwards double arrow m equals 4 over 5
    So, the slope of the line joining (0,0) and (5,4) is 4 over 5.
    Therefore the correct option is b, i.e. 4 over 5.

    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 m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction, where m is the slope of the line, x subscript 1 comma space y subscript 1 comma space x subscript 2 space a n d space y subscript 2 are the coordinates of the two points.

    Related Questions to study

    Grade-8
    Mathematics

    The slope of the line ax + by = c 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 slope of the line ax + by = c is

    MathematicsGrade-8

    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.

    Grade-8
    Mathematics

    If the line joining (1, 2) & (3, 4) is ax + by = c, then a + b – c 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.

    If the line joining (1, 2) & (3, 4) is ax + by = c, then a + b – c is

    MathematicsGrade-8

    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.

    Grade-8
    Mathematics

    Matt solved 90 problems in 6 hours, then the slope of the linear equation is

    Matt solved 90 problems in 6 hours, then the slope of the linear equation is

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    If the line that joins (a, 8) and (-1, 5) is 2y = 3x + 13, then the value of a 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 points should satisfy this equation.

    If the line that joins (a, 8) and (-1, 5) is 2y = 3x + 13, then the value of a is

    MathematicsGrade-8

    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 points should satisfy this equation.

    Grade-8
    Mathematics

    text  The slope of the line equation joining  end text left parenthesis square root of 2 comma 5 square root of 2 right parenthesis text  and  end text left parenthesis square root of 8 comma 2 square root of 8 right parenthesis text  is  end text

    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 m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction, where m is the slope of the line, x subscript 1 comma space y subscript 1 comma space x subscript 2 space a n d space y subscript 2 are the coordinates of the two points.

    text  The slope of the line equation joining  end text left parenthesis square root of 2 comma 5 square root of 2 right parenthesis text  and  end text left parenthesis square root of 8 comma 2 square root of 8 right parenthesis text  is  end text

    MathematicsGrade-8

    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 m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction, where m is the slope of the line, x subscript 1 comma space y subscript 1 comma space x subscript 2 space a n d space y subscript 2 are the coordinates of the two points.

    Grade-8
    Mathematics

    The sum of slopes of the line equations  y = 7x + 5 & y = 2x 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 the line equations  y = 7x + 5 & y = 2x is

    MathematicsGrade-8

    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.

    parallel
    Grade-8
    Mathematics

    The largest slope among the following equations 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 largest slope among the following equations is

    MathematicsGrade-8

    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.

    Grade-8
    Mathematics

    The line equation joining (1, 3) & (5, 7) 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 line equation joining (1, 3) & (5, 7) is

    MathematicsGrade-8

    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.

    Grade-8
    Mathematics

    The slope of the line in the graph is

    Distance- time graph is a graph which shows the distanced travelled by an object in an given time where x- axis is time and y- axis is distance. For this question we need to understand the given graph.

    The slope of the line in the graph is

    MathematicsGrade-8

    Distance- time graph is a graph which shows the distanced travelled by an object in an given time where x- axis is time and y- axis is distance. For this question we need to understand the given graph.

    parallel
    Grade-8
    Mathematics

    The value of “a”, if the slope between the points (a, 1) & (7, 2) is 2.

    Intercept is a point on y- axis from which the slope of the line passes. This can be determined by putting the value of m, x and y in y=mx+c.

    The value of “a”, if the slope between the points (a, 1) & (7, 2) is 2.

    MathematicsGrade-8

    Intercept is a point on y- axis from which the slope of the line passes. This can be determined by putting the value of m, x and y in y=mx+c.

    Grade-8
    Mathematics

    If 6 ft long ribbon cost $30, 15 ft long costs $75, then the difference between the constant of proportionality and slope of the line y over 15 = x + 1 is

    If 6 ft long ribbon cost $30, 15 ft long costs $75, then the difference between the constant of proportionality and slope of the line y over 15 = x + 1 is

    MathematicsGrade-8
    Grade-8
    Mathematics

    The cost of 5 pizzas is $20, the slope of the equation is

    The cost of 5 pizzas is $20, the slope of the equation is

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    The slope of the line 2y = 3x + 6 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 slope of the line 2y = 3x + 6 is

    MathematicsGrade-8

    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.

    Grade-8
    Mathematics

    In making a road the engineer decided to keep the slope as 0.1. Treating the initial point of the road as (0, 0), then the point that lies on the road among the following is

    In making a road the engineer decided to keep the slope as 0.1. Treating the initial point of the road as (0, 0), then the point that lies on the road among the following is

    MathematicsGrade-8
    Grade-8
    Mathematics

    Jacob drove 184 miles in 4 hours, form a linear equation for the proportional relation, then the slope of the linear equation is

    Jacob drove 184 miles in 4 hours, form a linear equation for the proportional relation, then the slope of the linear equation is

    MathematicsGrade-8
    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.