Question

what is the slope of the line with the equation $y = \frac{2}{3}x - 6$?
options: $\frac{2}{3}$, $\frac{3}{2}$, $-\frac{3}{2}$, $-\frac{2}{3}$

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify $m$ in the given equation

The given equation is $y=\frac{2}{3}x - 6$. Comparing this with the slope - intercept form $y = mx + b$, we can see that the coefficient of $x$ (which is $m$, the slope) is $\frac{2}{3}$.

Answer:

$\frac{2}{3}$ (corresponding to the option with text "2/3")