Question

write an equation in slope - intercept form for the line with y - intercept 3 and slope $\frac{3}{4}$.

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 $m=\frac{3}{4}$ and $b = 3$. Substituting into $y=mx + b$, we get $y=\frac{3}{4}x + 3$.

Answer:

$y = \frac{3}{4}x+3$