Solve y-(-4)=4/7(x-2)

$$y - ( - 4 ) = \frac { 4 } { 7 } ( x - 2 )$$

Solve for x

$$x=\frac{7y}{4}+9$$

Steps for Solving Linear Equation

The opposite of -4 is 4.

$$y+4=\frac{4}{7}\left(x-2\right)$$

Use the distributive property to multiply \frac{4}{7} by x-2.

$$y+4=\frac{4}{7}x-\frac{8}{7}$$

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

$$\frac{4}{7}x-\frac{8}{7}=y+4$$

Add \frac{8}{7} to both sides.

$$\frac{4}{7}x=y+4+\frac{8}{7}$$

Add 4 and \frac{8}{7} to get \frac{36}{7}.

$$\frac{4}{7}x=y+\frac{36}{7}$$

Divide both sides of the equation by \frac{4}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{7}x}{\frac{4}{7}}=\frac{y+\frac{36}{7}}{\frac{4}{7}}$$

Dividing by \frac{4}{7} undoes the multiplication by \frac{4}{7}.

$$x=\frac{y+\frac{36}{7}}{\frac{4}{7}}$$

Divide y+\frac{36}{7} by \frac{4}{7} by multiplying y+\frac{36}{7} by the reciprocal of \frac{4}{7}.

$$x=\frac{7y}{4}+9$$

Solve for y

$$y=\frac{4\left(x-9\right)}{7}$$

Solution Steps

The opposite of -4 is 4.

$$y+4=\frac{4}{7}\left(x-2\right)$$

Use the distributive property to multiply \frac{4}{7} by x-2.

$$y+4=\frac{4}{7}x-\frac{8}{7}$$

Subtract 4 from both sides.

$$y=\frac{4}{7}x-\frac{8}{7}-4$$

Subtract 4 from -\frac{8}{7} to get -\frac{36}{7}.

$$y=\frac{4}{7}x-\frac{36}{7}$$