Question

25 Points! Answer ASAP! What is the equation of the line that passes through the point (-5,4) and has a slope of -3/5?

Answer 1

The answer is

`y = - (3)/(5) x + 1`

Explanation:

To find the 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

slope = -3/5

the point is (- 5 , 4)

Substitute the values into the above formula and solve

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

We have the final answer as

`y = - (3)/(5) x + 1`

Hope this helps you