Question

Write the equation in slope-intercept form. What are the slope and y-intercept?
-12x + 11y=-8

Answer 1

`\large\boxed{y=(12)/(11)x-(8)/(11)}`

`\large\boxed{slope=(12)/(11)}\\\\\boxed{y-intercept=-(8)/(11)}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation:

`-12x+11y=-8` add 12x to both sides

`-12x+12x+11y=12x-8`

`11y=12x-8` divide both sides by 11

`(11y)/(11)=(12x)/(11)-(8)/(11)`

`y=(12)/(11)x-(8)/(11)`

Answer 2

Slope=12/11, y-intercept=-8/11

Explanation:

-12x+11y=-8

11y=-8-(-12x)

11y=-8+12x

11y=12x-8

y=12/11x-8/11

y=mx+b where m=slope and b=y-intercept,

so the slope is 12/11 and y-intercept is -8/11