Question

write an equation in slope-intercept form for the line with y-intercept -9 and slope \\(\frac{1}{4}\\).

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 values

We are given that the slope $m=\frac{1}{4}$ and the $y$-intercept $b = - 9$. Substituting these values into the slope - intercept form formula, we get $y=\frac{1}{4}x+(-9)$, which simplifies to $y=\frac{1}{4}x - 9$.

Answer:

$y=\frac{1}{4}x - 9$