Write in Slope-Intercept Form y=-3(x-4)+5(2x-1)

$y = - 3 (x - 4) + 5 (2 x - 1)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Simplify the right side.

Simplify $- 3 (x - 4) + 5 (2 x - 1)$ .

Simplify each term.

Apply the distributive property.

$y = - 3 x - 3 \cdot - 4 + 5 (2 x - 1)$

Multiply $- 3$ by $- 4$ .

$y = - 3 x + 12 + 5 (2 x - 1)$

Apply the distributive property.

$y = - 3 x + 12 + 5 (2 x) + 5 \cdot - 1$

Multiply $2$ by $5$ .

$y = - 3 x + 12 + 10 x + 5 \cdot - 1$

Multiply $5$ by $- 1$ .

$y = - 3 x + 12 + 10 x - 5$

Simplify by adding terms.

Add $- 3 x$ and $10 x$ .

$y = 7 x + 12 - 5$

Subtract $5$ from $12$ .

$y = 7 x + 7$