Question

Find the slope and the y-intercept of the equation 4x + 5y = -9

A.
slope = `4/5` and y-intercept = `-(9)/(5)`

B.
slope = `-(4)/(5)` and y-intercept = `(9)/(5)`

C.
slope = `-(4)/(5)` and y-intercept = `-(9)/(5)`

D.
slope = `(4)/(5)` and y-intercept = `9/5`

Answer 1

In your equation 4x+5y=-9, you've got to but your equation in slope intercept form which is y=mx+b.

First we need to get the y by itself.

Subtract 4x from each side to get:

5y=-4x-9

Next we want to divide both sides by 5.

y=-4/5x-9/5

Your slope is m which in our case -4/5.

Then our y-intercept is b or -9/5.

Your answer would then be C. slope=-4/5 and y-intercept=-9/5.

Hope this helps ;)