A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.

Question

A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.

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Hải Đăng 3 years 2021-07-16T01:19:28+00:00 1 Answers 74 views 0

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    2021-07-16T01:21:10+00:00

    Answer:

    y = – \frac{5}{2} x + 11

    Step-by-step explanation:

    The equation of a line in slope- intercept form is

    y = mx + c ( m is the slope and c the y- intercept )

    Here m = – \frac{5}{2} , then

    y = – \frac{5}{2} x + c ← is the partial equation

    To find c substitute (8, – 9) into the partial equation

    – 9 = – 20 + c ⇒ c = – 9 + 20 = 11

    y = – \frac{5}{2} x + 11 ← equation of line

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