Question

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

Answer 1

Answer:

$\large\boxed{y=\dfrac{12}{11}x-\dfrac{8}{11}}$

$\large\boxed{slope=\dfrac{12}{11}}\\\\\boxed{y-intercept=-\dfrac{8}{11}}$

Step-by-step 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

$\dfrac{11y}{11}=\dfrac{12x}{11}-\dfrac{8}{11}$

$y=\dfrac{12}{11}x-\dfrac{8}{11}$

Answer 2

Answer:

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

Step-by-step 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