Find the Slope and y-intercept 5x+y+3=0

$5 x + y + 3 = 0$

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.

$y = m x + b$

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

Subtract $5 x$ from both sides of the equation.

$y + 3 = - 5 x$

Subtract $3$ from both sides of the equation.

$y = - 5 x - 3$

Step 2

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

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

$m = - 5$

$b = - 3$

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

Slope: $- 5$

y-intercept: $(0, - 3)$

Slope: $- 5$

y-intercept: $(0, - 3)$

Step 3