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## 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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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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Mathematics
3 years
2021-07-16T01:19:28+00:00
2021-07-16T01:19:28+00:00 1 Answers
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## Answers ( )

Answer:y = – 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 = – , then

y = – x + c ← is the partial equation

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

– 9 = – 20 + c ⇒ c = – 9 + 20 = 11

y = – x + 11 ← equation of line