Question

write an equation in slope-intercept form for the line with slope \\(\frac{1}{4}\\) 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 $m=\frac{1}{4}$ and the y - intercept $b = - 5$. Substituting these values into the slope - intercept form $y=mx + b$, we get $y=\frac{1}{4}x+(-5)$, which simplifies to $y=\frac{1}{4}x - 5$.

Answer:

$y=\frac{1}{4}x - 5$