A line passes through the points (-4, 8) and (3, -7). Answer all parts of the question. Part A: What is the slope of

Question

A line passes through the points (-4, 8) and (3, -7).

Answer all parts of the question.

Part A: What is the slope of the line that passes through these points.

Part B: What is the equation of the line that passes through these points.

Part C: Where does the line intersect the x-axis and y-axis?

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Nem 3 years 2021-08-23T04:32:26+00:00 1 Answers 0 views 0

Answers ( )

  1. minhkhoi
    0
    2021-08-23T04:34:04+00:00
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    Answer: (hope I got them correct)

    A) -15/7

    B) y=-\frac{15}{7}x-\frac{4}{7}

    C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).

    Step-by-step explanation:

    A) Slope = [8-(-7)]/(-4-3) = -15/7

    B) Let y=-\frac{15}{7}x+c be the required equation.

    Substitute x=-4, y=8.

    8=(-15/7)(-4)+c

    c=-4/7

    The equation is therefore y=-\frac{15}{7}x-\frac{4}{7}.

    C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).

    Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).

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