Question

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

Answer 1

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