Mathematics
Grade-8
Easy

Question

The slope of the line in the graph is

  1. 1
  2. 2
  3. 4
  4. 8

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: 8


    In the question a graph is given from the graph we have to find the slope of the given line in the graph.
    Step 1: Find the points along the line.
    From the graph the points along the line are (1,20) and (3.5,40).
    Step 2: Find the slope.
    Let (1,20) and (3.5,40) 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 space x subscript 2 comma space y subscript 2 space a n d space m space i n space e q u a t i o 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 40 minus 20 over denominator 3.5 minus 1 end fraction
rightwards double arrow m equals fraction numerator 20 over denominator 2.5 end fraction
rightwards double arrow m equals 200 over 25
rightwards double arrow m equals 8

    So, the slope of the given line is 8.

    Therefore the correct option is d, i.e., 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.

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