Find the Slope and y-intercept -3x+5y=-20

$- 3 x + 5 y = - 20$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Add $3 x$ to both sides of the equation.

$5 y = - 20 + 3 x$

Divide each term in $5 y = - 20 + 3 x$ by $5$ and simplify.

Divide each term in $5 y = - 20 + 3 x$ by $5$ .

$\frac{5 y}{5} = \frac{- 20}{5} + \frac{3 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 20}{5} + \frac{3 x}{5}$

Divide $y$ by $1$ .

$y = \frac{- 20}{5} + \frac{3 x}{5}$

Simplify the right side.

Divide $- 20$ by $5$ .

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

Write in $y = m x + b$ form.

Reorder $- 4$ and $\frac{3 x}{5}$ .

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

Reorder terms.

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

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = \frac{3}{5}$

$b = - 4$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{3}{5}$

y-intercept: $(0, - 4)$

Slope: $\frac{3}{5}$

y-intercept: $(0, - 4)$

Step 3