Questions: Find an equation of the line with the given y-intercept and slope m. -11, m=-5 The equation of the line is

Transcript text: Find an equation of the line with the given $y$-intercept and slope $m$. \[ -11, m=-5 \] The equation of the line is $\square$

Solution

Solution Steps

To find the equation of a line given the y-intercept and slope, we use the slope-intercept form of a line, which is $ y = mx + b $. Here, $ m $ is the slope and $ b $ is the y-intercept. Substitute the given values of $ m $ and $ b $ into this formula to get the equation of the line.

Step 1: Identify the Slope-Intercept Form

The slope-intercept form of a line is given by the equation $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept.

Step 2: Substitute the Given Values

We are given the slope $ m = -5 $ and the y-intercept $ b = -11 $. Substitute these values into the slope-intercept form:

\[ y = -5x - 11 \]