Question

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

Answer 1

Answer:

The answer is

$\huge y = - \frac{1}{4} x - 6$

Step-by-step 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

$y + 8 = - \frac{1}{4} (x - 8) \\ y + 8 = - \frac{1}{4} x + 2 \\ y = - \frac{1}{4} x + 2 - 8$

We have the final answer as

$y = - \frac{1}{4} x - 6$

Hope this helps you