Question

write an equation in slope-intercept form for the line with slope $-\frac{1}{2}$ and $y$-intercept $5$.

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute the given values

We are given that the slope $m=-\frac{1}{2}$ and the $y$-intercept $b = 5$. Substituting these values into the slope - intercept form formula, we get $y=-\frac{1}{2}x + 5$.

Answer:

$y = -\frac{1}{2}x+5$