Write in y=mx+b Form y+1=7/5(x+5)

$y + 1 = \frac{7}{5} (x + 5)$

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 $\frac{7}{5} (x + 5)$ .

Apply the distributive property.

$y + 1 = \frac{7}{5} x + \frac{7}{5} \cdot 5$

Combine $\frac{7}{5}$ and $x$ .

$y + 1 = \frac{7 x}{5} + \frac{7}{5} \cdot 5$

Cancel the common factor of $5$ .

Cancel the common factor.

$y + 1 = \frac{7 x}{5} + \frac{7}{5} \cdot 5$

Rewrite the expression.

$y + 1 = \frac{7 x}{5} + 7$

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

Subtract $1$ from both sides of the equation.

$y = \frac{7 x}{5} + 7 - 1$

Subtract $1$ from $7$ .

$y = \frac{7 x}{5} + 6$

Reorder terms.

$y = \frac{7}{5} x + 6$