Question

Write the linear equation$2x-3y=15$in shape – intercept form and sketch its graph. What are the slope and y-intercept.

Short answer

Form is $y=\frac{2}{3}x-5$and slope is $\frac{2}{3}$ and y-intercept is$-5$

Step-by-step solution

Step 1. Concept of slope intercept form.

$y=mx+b$is a slope intercept form of equation

Where m is the slope of the line and b is the y- intercept of line

Step 2. Determining the equation in slope intercept form.

$\begin{array}{c}2x-3y=15\\ 3y=2x-15\\ y=\frac{2}{3}x-5\end{array}$

Step 3. Determining the slope and y- intercept.

$y=\frac{2}{3}x-5$

Here, slope localid="1652890317397" $m=\frac{2}{3}$and y-intercept,localid="1652890333139" $b=-5$

Step 4. Plot the graph.