Write in y=mx+b Form y-(-3)=5/4(x-4)

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

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.

Multiply $- 1$ by $- 3$ .

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

Simplify the right side.

Simplify $\frac{5}{4} (x - 4)$ .

Apply the distributive property.

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

Combine $\frac{5}{4}$ and $x$ .

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

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $5$ by $- 1$ .

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

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

Subtract $3$ from both sides of the equation.

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

Subtract $3$ from $- 5$ .

$y = \frac{5 x}{4} - 8$

Reorder terms.

$y = \frac{5}{4} x - 8$