identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3

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identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3

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    2021-11-27T00:08:05+00:00

    Step 1

    Find the equation of the line

    we know that

    the equation of the line in the slope-intercept form is equal to

    y=mx+b

    where

    m is the slope

    b is the y-intercept

    in this problem we have

    m=0.2\\b=0.3

    substitute the values

    y=0.2x+0.3

    Step 2      

    identify the coordinates of four points on the line

    we know that

    if a point belongs to the line, then the point must satisfy the equation of the line.

    Let’s assume different values of x and then with the equation we will calculate the value of y

    case a) For x=0

    Substitute the value of x in the equation and find the value of y

    y=0.2*0+0.3=0.3

    The point A is (0,0.3)

    case b) For x=1

    Substitute the value of x in the equation and find the value of y

    y=0.2*1+0.3=0.5

    The point B is (1,0.5)

    case c) For x=-1

    Substitute the value of x in the equation and find the value of y

    y=0.2*-1+0.3=0.1

    The point C is (-1,0.1)

    case d) For x=2

    Substitute the value of x in the equation and find the value of y

    y=0.2*2+0.3=0.7

    The point D is (2,0.7)

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