If my explanation doesn't make sense, there are some pretty good utube videos about it.
Here is our equation: 3x + 2y = 5
At the y-intercept (the point where the line meets y on a graph), x=0. The same can be applied to the x-intercept, as y=0. So, to find each intercept, we can treat 3x + 2y = 5, as we would with any other equation.
First, we will find the y-intercept. We know x=0, so that can be plugged in: 3(0) + 2y = 5
Anything times 0 is 0.
2y = 5
Divide both sides by 2 to isolate y:
y = 5/2 (or 2.5)
The y intercept is 5/2 (or 2.5).
Now, do the same for x, given that y=0: 3x + 2(0) = 5
Anything times 0 is 0.
3x = 5
Divide both sides by 3 to isolate x:
x = 5/3 (or 1.7
The x intercepts is 5/3 (or 1.7)
(You should probably use the fractional versions of the answers, but it depends on your teacher, I suppose)
Let me know if you have any questions about this! :)
