Question

write an equation in slope - intercept form for the line with y - intercept 6 and slope $\frac{1}{2}$.

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute given values

Given $m=\frac{1}{2}$ and $b = 6$, substituting into the formula gives $y=\frac{1}{2}x+6$.

Answer:

$y=\frac{1}{2}x + 6$