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

$- 3 x - 5 y = 5$

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.

$- 5 y = 5 + 3 x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $5$ by $- 5$ .

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

Move the negative in front of the fraction.

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

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

Reorder $- 1$ and $- \frac{3 x}{5}$ .

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

Reorder terms.

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

Remove parentheses.

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

Step 2

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

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

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

$b = - 1$

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: $(0, - 1)$

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

y-intercept: $(0, - 1)$

Step 3