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What is the equation of the line that passes through the point (8,-8 and has a slope of -1/4

1 Answer

5 votes

Answer:

The answer is


\huge y = - (1)/(4) x - 6

Explanation:

To find an equation of a line given the slope and a point we use the formula


y - y_1 = m(x - x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is ( 8 , - 8) and slope -1/4

We have


y + 8 = - (1)/(4) (x - 8) \\ y + 8 = - (1)/(4) x + 2 \\ y = - (1)/(4) x + 2 - 8

We have the final answer as


y = - (1)/(4) x - 6 \\

Hope this helps you

User Phongyewtong
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