Evaluate Using the Given Value y-4=2/3(x-3)

$y - 4 = \frac{2}{3} (x - 3)$

Step 1

Simplify $\frac{2}{3} \cdot (x - 3)$ .

Rewrite.

$y - 4 = 0 + 0 + \frac{2}{3} \cdot (x - 3)$

Simplify by adding zeros.

$y - 4 = \frac{2}{3} \cdot (x - 3)$

Apply the distributive property.

$y - 4 = \frac{2}{3} x + \frac{2}{3} \cdot - 3$

Combine $\frac{2}{3}$ and $x$ .

$y - 4 = \frac{2 x}{3} + \frac{2}{3} \cdot - 3$

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

$y - 4 = \frac{2 x}{3} + \frac{2}{3} \cdot (3 (- 1))$

Cancel the common factor.

$y - 4 = \frac{2 x}{3} + \frac{2}{3} \cdot (3 \cdot - 1)$

Rewrite the expression.

$y - 4 = \frac{2 x}{3} + 2 \cdot - 1$

Multiply $2$ by $- 1$ .

$y - 4 = \frac{2 x}{3} - 2$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$y = \frac{2 x}{3} - 2 + 4$

Add $- 2$ and $4$ .

$y = \frac{2 x}{3} + 2$