Question

find the slope and the y - intercept of the line.
y = \frac{2}{3}x
slope:
y - intercept:

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: Identify the slope

For the equation $y=\frac{2}{3}x$, comparing with $y = mx + b$, we have $m=\frac{2}{3}$, so the slope is $\frac{2}{3}$.

Step3: Identify the y - intercept

Since $y=\frac{2}{3}x$ can be written as $y=\frac{2}{3}x+0$, the value of $b = 0$. So the y - intercept is $0$.

Answer:

slope: $\frac{2}{3}$
y - intercept: $0$