Write in y=mx+b Form y=3/5(x-5)+2

$y = \frac{3}{5} (x - 5) + 2$

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 $\frac{3}{5} (x - 5) + 2$ .

Simplify each term.

Apply the distributive property.

$y = \frac{3}{5} x + \frac{3}{5} \cdot - 5 + 2$

Combine $\frac{3}{5}$ and $x$ .

$y = \frac{3 x}{5} + \frac{3}{5} \cdot - 5 + 2$

Cancel the common factor of $5$ .

Factor $5$ out of $- 5$ .

$y = \frac{3 x}{5} + \frac{3}{5} \cdot (5 (- 1)) + 2$

Cancel the common factor.

$y = \frac{3 x}{5} + \frac{3}{5} \cdot (5 \cdot - 1) + 2$

Rewrite the expression.

$y = \frac{3 x}{5} + 3 \cdot - 1 + 2$

Multiply $3$ by $- 1$ .

$y = \frac{3 x}{5} - 3 + 2$

Add $- 3$ and $2$ .

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

Reorder terms.

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