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Expert-verified Found in: Page 271 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # Write an equation of a line in slope-intercept form with the given slope and $y$-intercept. Then graph the equation.Slope: $-2$, $y$-intercept: $-9$

The equation of a line in slope-intercept form with the given slope and $y$-intercept is.

$y=-2x-9$

The graph of the equation $y=-2x-9$ is: See the step by step solution

## Step 1. Write the slope-intercept form of a line.

The equation of line in slope-intercept form is:

$y=mx+b$

Where $m$ is the slope of the line and $b$ is the $y$-intercept of the line.

## Step 2. Write the equation of a line in slope-intercept form having slope −2 and y-intercept −9.

The slope of the line is $-2$. Therefore, the value of $m$ is $-2$.

The $y$-intercept of the line is $-9$. Therefore, the value of $b$ is $-9$.

Now substitute $-2$ for $m$ and $-9$ for $b$ in the equation $y=mx+b$ to find the slope-intercept form of the line.

$y=mx+b\phantom{\rule{0ex}{0ex}}=\left(-2\right)x+\left(-9\right)\phantom{\rule{0ex}{0ex}}=-2x-9$

Therefore, the equation of a line in slope-intercept form with the given slope and $y$-intercept is $y=-2x-9$.

## Step 3. Draw the graph of the equation y=−2x−9.

The graph of the equation $y=-2x-9$ is:  ### Want to see more solutions like these? 