Question

Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5

Group of answer choices

1.y = -5x - 24
2.y = 5x + 6
3.y = 5x - 6
4.y = -5x + 24

Answer 1

The answer is y = -5x + 24

Explanation:

To find an equation of a line when 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 we have

`y - 9 = - 5(x - 3) \\ y - 9 = - 5x + 15 \\ y = - 5x + 15 + 9`

We have the final answer as

y = - 5x + 24

Hope this helps you