Solve y-(-2)=-7/8(x-(-8))

$$y-(-2)=- \frac{ 7 }{ 8 } (x-(-8))$$

Solve for x

$$x=\frac{-8y-72}{7}$$

Steps for Solving Linear Equation

The opposite of -2 is 2.

$$y+2=-\frac{7}{8}\left(x-\left(-8\right)\right)$$

The opposite of -8 is 8.

$$y+2=-\frac{7}{8}\left(x+8\right)$$

Use the distributive property to multiply -\frac{7}{8} by x+8.

$$y+2=-\frac{7}{8}x-7$$

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

$$-\frac{7}{8}x-7=y+2$$

Add 7 to both sides.

$$-\frac{7}{8}x=y+2+7$$

Add 2 and 7 to get 9.

$$-\frac{7}{8}x=y+9$$

Divide both sides of the equation by -\frac{7}{8}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{7}{8}x}{-\frac{7}{8}}=\frac{y+9}{-\frac{7}{8}}$$

Dividing by -\frac{7}{8} undoes the multiplication by -\frac{7}{8}.

$$x=\frac{y+9}{-\frac{7}{8}}$$

Divide y+9 by -\frac{7}{8} by multiplying y+9 by the reciprocal of -\frac{7}{8}.

$$x=\frac{-8y-72}{7}$$

Solve for y

$$y=-\frac{7x}{8}-9$$

Solution Steps

The opposite of -2 is 2.

$$y+2=-\frac{7}{8}\left(x-\left(-8\right)\right)$$

The opposite of -8 is 8.

$$y+2=-\frac{7}{8}\left(x+8\right)$$

Use the distributive property to multiply -\frac{7}{8} by x+8.

$$y+2=-\frac{7}{8}x-7$$

Subtract 2 from both sides.

$$y=-\frac{7}{8}x-7-2$$

Subtract 2 from -7 to get -9.

$$y=-\frac{7}{8}x-9$$