when needing to graph linear equations

Question

I have a equation that says 2x+10=-5y how do you solve and graph this? I attempted and I want to see how someone else solves and graphs this equation

Answer 1

Hi Amanda,

2x +10 = 5y

rewrite it as

5y = 2x + 10 divide both sides by 5

y = 2x/5 +2

To  graph you need to find values of x that corresponds to values of y

when x =-5 , y  = 2*-5/5 +2 = -2 + 2 = 0

when x = 0, y = 2*0/5+2 = 0+2 =2

when x= 5 , y = 2*5/5 + 2 = 2 +2 =4

You keep plugging in values for x to get values of y

 y            x

---         ----- 

0            -5

2             0

4             5

Plot the points on the coordinate axes and draw a straaight line between the points