Question

Slope and intercept of -7x-4y=12

Answer 1

Greetings!

To find the slope and y-intercept of this line, we need to rearrange the equation into slope y-intercept form:

`y=mx+b`

To accomplish this, let's first isolate the y variable:

`-7x-4y=12`

First, add 7x to both sides:

`(-7x-4y)+(7x)=(12)+(7x)`

`-4y=7x+12`

Divide both sides of the equation by -4:

`(-4y)/(-4)=(7x+12)/(-4)`

`y=(7)/(-4)x+(12)/(-4)`

`y=-(7)/(-4)x-3`

The slope (m) is equal to:

`\boxed{-(7)/(4)}`

The y-intercept (b) is equal to:

`\boxed{-3}`

I hope this helped!

-Benjamin

Answer 2

first you do is add 7x on both sides to get
-4y= 7x+12 then divide -4 on both sides to get

y= -7/4x-3

the slope is -7/4

the intercept is -3