Solve y-7=-1/4(x-4)

$$y - 7 = - \frac { 1 } { 4 } ( x - 4 )$$

Solve for x

$$x=32-4y$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{4} by x-4.

$$y-7=-\frac{1}{4}x+1$$

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

$$-\frac{1}{4}x+1=y-7$$

Subtract 1 from both sides.

$$-\frac{1}{4}x=y-7-1$$

Subtract 1 from -7 to get -8.

$$-\frac{1}{4}x=y-8$$

Multiply both sides by -4.

$$\frac{-\frac{1}{4}x}{-\frac{1}{4}}=\frac{y-8}{-\frac{1}{4}}$$

Dividing by -\frac{1}{4} undoes the multiplication by -\frac{1}{4}.

$$x=\frac{y-8}{-\frac{1}{4}}$$

Divide y-8 by -\frac{1}{4} by multiplying y-8 by the reciprocal of -\frac{1}{4}.

$$x=32-4y$$

Solve for y

$$y=-\frac{x}{4}+8$$

Solution Steps

Use the distributive property to multiply -\frac{1}{4} by x-4.

$$y-7=-\frac{1}{4}x+1$$

Add 7 to both sides.

$$y=-\frac{1}{4}x+1+7$$

Add 1 and 7 to get 8.

$$y=-\frac{1}{4}x+8$$