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31 August, 14:48

24. Write the equation of a line if it is parallel to y =

3x - 4 and goes through (-2,0)

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Answers (1)
  1. 31 August, 14:55
    0
    Answer: y = 3x + 6

    Step-by-step explanation:

    The equation of a straight line can be represented in the slope intercept form as

    y = mx + c

    Where

    m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

    The equation of the given line is

    y = 3x - 4

    Comparing with the slope intercept form, slope = 3

    If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, 0) is 3

    To determine the intercept, we would substitute m = 3, x = - 2 and y = 0 into y = mx + c. It becomes

    0 = 3 * - 2 + c = - 6 + c

    c = 0 + 6 = 6

    The equation becomes

    y = 3x + 6
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