Question

What is the equation of the line that passes through the point (-4,2) and has a slope of -5/4

Answer 1

The answer is

`\huge y = - (5)/(4) x - 3`

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 (-4,2) and slope of -5/4

We have

`y - 2 = - (5)/(4) (x + 4) \\ y - 2 = - (5)/(4) x - 5 \\ y = - (5)/(4) x - 5 + 2`

We have the final answer as

`y = - (5)/(4) x - 3 \\`

Hope this helps you