Question

Write the equation in slope-intercept form. What are the slope and y-intercept?

-11x + 9y = -12

please help :(

Answer 1

Solve for y and get into y = mx + b form

\[\Large -11x + 9y = -12 \]

\[\Large 9y = -12 + 11x \]

\[\Large 9y = 11x-12 \]

\[\Large y = \frac{11x-12}{9} \]

\[\Large y = \frac{11x}{9}-\frac{12}{9} \]

\[\Large y = \frac{11}{9}x-\frac{4}{3} \]

The equation is now in y = mx+b form where

m = 11/9

b = -4/3

Answer 2

m is the slope, so the slope is 11/9

b is the y-intercept, so the y-intercept is -4/3, which is the point (0, -4/3)