Write in Slope-Intercept Form 1/4y+3=-5x

$\frac{1}{4} y + 3 = - 5 x$

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

Rewrite in slope-intercept form.

Simplify the left side.

Combine $\frac{1}{4}$ and $y$ .

$\frac{y}{4} + 3 = - 5 x$

Subtract $3$ from both sides of the equation.

$\frac{y}{4} = - 5 x - 3$

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 (- 5 x - 3)$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{y}{4} = 4 (- 5 x - 3)$

Rewrite the expression.

$y = 4 (- 5 x - 3)$

Simplify the right side.

Simplify $4 (- 5 x - 3)$ .

Apply the distributive property.

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

Multiply.

Multiply $- 5$ by $4$ .

$y = - 20 x + 4 \cdot - 3$

Multiply $4$ by $- 3$ .

$y = - 20 x - 12$