Question

-4x+-6y=24 how do you solve?

Answer 1

Solving for x

Since 6y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6y from both sides.
−4x=−6y+24

Divide each term in the equation by −4.
−4x/−4=−6y/−4+24/−4 

Simplify
x=3y/2+24/−4

 Divide 24 by −4 to get −6. 

x=3y/2−6 

x is equal to 3y/2−6  


You solve y the same way you solve x:

Because −4x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4x to both sides.
6y=4x+24

Divide each term in the equation by 6.
6y/6=4x/6+24/6 

Simplify
y=2x/3+24/6

Divide 24 by 6 to get 4. 
y=2x/3+4 

y is equal to 2x/3+4 

Answer 2

So,

Let's manipulate this into the y=mx + b form.

Add 4x to both sides
-6y = 4x + 24

Divide both sides by -6
$y = \frac{4}{-6} x - 4$

Just use the slope to find the points you need.

The y-intercept is (0,-4).

The slope is $\frac{4}{-6}$.  Finding the next point:
(-6,0)

You could have also used the slope intercept method.

-4(0) - 6y = 24
-6y = 24

Divide both sides by -6
y = -4
(0,-4)


-4x - 6(0) = 24
-4x = 24

Divide both sides by -4
x = -6
(-6,0)