Question

PLEASE HELP

Solve the equation for y. Identify the slope and y-intercept then graph the equation.

2y-3x=10

Y=
M=
B=

Please Include a picture of the graph and show your work if you can

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=(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=(3)/(2)x+5\\m=(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=(3)/(2)(2)+5\\y=3+5\\y=8\\(2,8)`

Have a wonderful day and keep on learning! :D