Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5). O A. y+5 = (x-4) O

Question

Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that
passes through (4,-5).
O A. y+5 = (x-4)
O B. y 4= {(x+5)
O C. y-5–}(x+4)
O D. 4+5–xx-4)

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Caroline 2 weeks 2021-09-13T11:17:10+00:00 1 Answer 0

Answers ( )

    0
    2021-09-13T11:19:01+00:00

    Answer:

    \large\boxed{y+5=\dfrac{2}{3}(x-4)}

    Step-by-step explanation:

    The point-slope form of an equation of a line:

    y-y_1=m(x-x_1)

    m – slope

    Parallel lines have the same slope.

    We have the equation in the slope-intercept form (y = mx + b)

    y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}

    Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

    y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)

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