Question

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

-11x + 9y = -12

Answer 1

First arrange it to:
y=mx+c

Answer 2

9y=11x+12

Answer 3

The slope-intercept form of the equation of a line is

\(y = mx + b\)

where m = slope, and b = the y-intercept.

All you need to do is solve your equation for y and compare it with the form to find what m and b are.

Answer 4

i dont know how to do that, can you explain it to me?

Answer 5

You need to solve the given equation for y.
That means you want y by itself on the left side.

Answer 6

Your equation is

-11x + 9y = -12

First, we need to get rid of -11x from the left side, so we add 11x to both sides.

-11x + 9y = -12
+11x +11x
--------------------------
9y = 11x - 12

Now that we have 9y on the left side, and we want y by itself, we divide both sides by 9:

\( \dfrac{9y}{9} = \dfrac{11x}{9} - \dfrac{12}{9} \)

Now we reduce the fractions on both sides to get:

\( y = \dfrac{11}{9}x \ -\dfrac{4}{3} \)

Now we see that \(m = \dfrac{11}{9}\). That is the slope.

Also, \(b = - \dfrac{4}{3} \). That is the y-intercept.

Answer 7

ohhh, that makes so much more sense. thanks!

Answer 8

You're welcome.