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

Respuesta :

Answer:

The answer is y = -5x + 24

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have

[tex]y - 9 = - 5(x - 3) \\ y - 9 = - 5x + 15 \\ y = - 5x + 15 + 9[/tex]

We have the final answer as

y = - 5x + 24

Hope this helps you