Question

#6
graph this line: $y = \frac{2}{3}x$
what is the slope of the line?
m =
list two ordered pairs on the line.

Explanation:

Step1: Identify slope from slope-intercept form

The equation $y = \frac{2}{3}x$ is in $y=mx+b$ form, where $m$ is slope. Here $b=0$, so $m=\frac{2}{3}$.

Step2: Find ordered pairs

For $x=0$: $y=\frac{2}{3}(0)=0$, so pair $(0,0)$.
For $x=3$: $y=\frac{2}{3}(3)=2$, so pair $(3,2)$.

Step3: Verify line plotting

Plot $(0,0)$ and $(3,2)$, draw a line through them.

Answer:

What is the SLOPE of the line?
$m = \frac{2}{3}$

List two ordered pairs on the line.
$(0, 0)$, $(3, 2)$

(To graph: Plot the two ordered pairs and draw a straight line passing through them, extending in both directions.)