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3 November, 06:47

Which is the equation of a libe that has a slope of 1/2 and passes through (2,-3)

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  1. 3 November, 08:43
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    Step-by-step explanation:

    The equation of a straight line can be represented in the slope-intercept form, y = mx + c

    Where c = intercept

    Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

    change in the value of y = y2 - y1

    Change in value of x = x2 - x1

    The slope is given as 1/2 and the line passes through (2, - 3)

    To determine the intercept, we would substitute x = 2, y = - 3 and m = 1/2 into y = mx + c

    y = mx + c. It becomes

    - 3 = 1/2 * 2 + c = 1 + c

    c = - 3 - 1 = - 4

    The equation becomes

    y = x/2 - 4
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