Question 55070: How do you solve y when doing this equation on a graph? (2x - 3y = 12) Found 2 solutions by funmath, rchill:Answer by funmath(2933) (Show Source):
You can put this solution on YOUR website! How do you solve y when doing this equation on a graph? (2x - 3y = 12)
I'm not sure what you mean. I'm going to do this two ways. Maybe one of them is what you need.
You can graph this by the intercept method.
Let x=0 and solve for y:
2(0)-3y=12
0-3y=12
-3y=12
-3y/-3=12/-3
y=-4
Plot (0,-4)
Let y=0 and solve for x:
2x-3(0)=12
2x-0=12
2x=12
2x/2=12/2
x=6
Plot (6,0)
Connect the dots and you have a line.
----------------------------------------------------------
Another way to do this is to put the equation in slope intercept form, , where m=slope and (0,b) is the y-intercept.
Solve the equation for y:
2x-3y=12
-2x+2x-3y=-2x+12
0-3y=-2x+12
-3y=-2x+12
-3y/-3=-2x/-3+12/-3
y=(2/3)x-4
Plot (0,-4)
Frome that point use the slope, m=rise/run=2/3 and go up 2 and right 3 and put another point at (3,-2)
Connect the points and you should have a line that looks like:
Happy Calculating!!!
You can put this solution on YOUR website! First subtract 2x from both sides to get and then divide both sides by -3 to get . Now create two ordered pairs by substituting in values of x to determine y -- you decide the x values. For example, if x=0, then y=-4; if x=3, then y=-2. Plot those two points and connect via a straight edge. The graph is:
(
