which of the following is an equation of the line through (2,3) and (-1,-12) A) y=1/5x+13/5 B) y=-1/5x+17/5 C) y=5x-7 D)

Question

which of the following is an equation of the line through (2,3) and (-1,-12)
A) y=1/5x+13/5
B) y=-1/5x+17/5
C) y=5x-7
D)y=-5x+7

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Answers ( No )

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    2021-09-06T03:32:43+00:00

    Answer:

    The correct answer is C.

    Step-by-step explanation:

    In order to find the line, we first need to find the slope. For that we use the slope formula.

    m(slope) = (y2 – y1)/(x2 – x1)

    m = (-12 – 3)/(-1 – 2)

    m = -15/-3

    m = 5

    Now we put the slope and one of the points into point-slope form and solve for y.

    y – y1 = m(x – x1)

    y – 3 = 5(x – 2)

    y – 3 = 5x – 10

    y = 5x – 7

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