Questions: Write an equation in slope-intercept form for the line with slope -1/2 and y-intercept -7.

Transcript text: Write an equation in slope-intercept form for the line with slope $-\frac{1}{2}$ and $y$-intercept -7 . $\square$

Solution

Solution Steps

To write the equation of a line in slope-intercept form, we use the formula $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. Given the slope $ m = -\frac{1}{2} $ and the y-intercept $ b = -7 $, we can directly substitute these values into the formula to get the equation of the line.

Step 1: Identify the Slope and Y-Intercept

The problem provides the slope $ m = -\frac{1}{2} $ and the y-intercept $ b = -7 $.

Step 2: Write the Equation in Slope-Intercept Form

The slope-intercept form of a line is given by the equation $ y = mx + b $. Substituting the given values, we have: \[ y = -\frac{1}{2}x - 7 \]