Write in y=mx+b Form y+1=5/4(x+4)

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

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 right side.

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

Apply the distributive property.

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

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

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Subtract $1$ from both sides of the equation.

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

Subtract $1$ from $5$ .

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

Reorder terms.

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