Solve y-(-9)=-2(x-(-4))

$$y - ( - 9 ) = - 2 ( x - ( - 4 ) )$$

Solve for x

$$x=\frac{-y-17}{2}$$

Steps for Solving Linear Equation

The opposite of -9 is 9.

$$y+9=-2\left(x-\left(-4\right)\right)$$

The opposite of -4 is 4.

$$y+9=-2\left(x+4\right)$$

Use the distributive property to multiply -2 by x+4.

$$y+9=-2x-8$$

Swap sides so that all variable terms are on the left hand side.

$$-2x-8=y+9$$

Add 8 to both sides.

$$-2x=y+9+8$$

Add 9 and 8 to get 17.

$$-2x=y+17$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{y+17}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{y+17}{-2}$$

Divide y+17 by -2.

$$x=\frac{-y-17}{2}$$

Solve for y

$$y=-2x-17$$

Solution Steps

The opposite of -9 is 9.

$$y+9=-2\left(x-\left(-4\right)\right)$$

The opposite of -4 is 4.

$$y+9=-2\left(x+4\right)$$

Use the distributive property to multiply -2 by x+4.

$$y+9=-2x-8$$

Subtract 9 from both sides.

$$y=-2x-8-9$$

Subtract 9 from -8 to get -17.

$$y=-2x-17$$