Question

what is the slope of a line that is parallel to the line $y = \frac{3}{4}x + 2$?\
$\frac{4}{3}$ $-\frac{3}{4}$ $-\frac{4}{3}$ $\frac{3}{4}$

Explanation:

Step1: Recall slope - intercept form

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

For the given line $y=\frac{3}{4}x + 2$, by comparing it with $y=mx + b$, we can see that the slope $m$ of the given line is $\frac{3}{4}$.

Step2: Recall the property of parallel lines

Two non - vertical parallel lines have the same slope. So, if a line is parallel to the line $y = \frac{3}{4}x+2$, its slope will be equal to the slope of the given line.

Answer:

$\frac{3}{4}$ (corresponding to the option with $\frac{3}{4}$)