Question

Find the slope and y-intercept of the line and draw its graph. (Lesson 1.10)

$y=\frac{2}{3}x-2$

Short answer

Hence, the slope of the line is$\frac{2}{3}$ and y-intercept is 2 and the graph is

Step-by-step solution

Step 1. Definition of the slope-intercept form.

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

Step 2. Find the slope.

We have$y=\frac{2}{3}x-2$

Compare the equation with slope intercept form, we get

$m=\frac{2}{3}$, y-intercept: 2

Step 3. Draw the graph.

Now, interpret the slope as$\frac{\text{Rise}}{\text{Run}}$ and the then move accordingly to plot another point and draw the line through the two points

$\frac{\text{Rise}}{\text{Run}}=\frac{2}{3}$