Question

PLEASE HELP

Answer 1

Hey there! I'm happy to help!

Here is our equation.

$2y-3x=10$

Let's add 3x to both sides.

$2y=3x+10$

Divide both sides by 2.

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

Here is slope intercept form.

$y=mx+b\\m=slope\\b=y-intercept$

So, we can just find those two things in the equation, and here are our answers.

$y=\frac{3}{2}x+5\\m=\frac{3}{2}\\b=5$

The graph is down below. If our y-intercept is 5, then one of our points is (0,5). You can then plug a random x-value into the formula to find another point and then draw the line going through the two points.

$y=\frac{3}{2}(2)+5\\y=3+5\\y=8\\(2,8)$

Have a wonderful day and keep on learning! :D