Question 310384
x-intercept and y-intercept of the line 2x+3y=-18 


Here are two facts to keep in mind:  


When you want to find the X intercept SOLVE for X by making y = 0
When you want to find the Y intercept SOLVE for Y by making x = 0. 


It's that simple.  Just plug in 0... like this:


Let's find the X intercept first.  We'll SOLVE FOR X by making y = 0.


2x+3y=-18 (original equation)
2x + 3(0) = -18  (plug in 0 for the y variable)
2x  = -18 (3 times 0 equals 0, so we just wipe it out of the equation).
x = -9 (Divide both sides by 2 to isolate the x.  So, -18 divided by 2 is -9)


Now we know, when y =0, then x = -9.  So our X intercept is:  (-9, 0)



Now let's find the Y intercept.  We'll SOLVE FOR Y by making x = 0.
2x+3y=-18 (original equation)
2(0) + 3y = -18 (plug in 0 for the X variable)
3y = -18 (2 times 0 equals 0, so we just wipe it out of the equation).
y = -6 (Divide both sides by 3 to isolate the y.  So.. -18 divided by 3 is -6)


Now we know, when x = 0, then y = -6.  So our Y intercept is:  (0, -6)


That's all there is to it.  I hope this was helpful. :-)