Question 251429
4x + 5y = 40



Here are the two facts you need to know:



To find your X Intercept, solve for X by making y = 0.
To find your Y Intercept, solve for Y by making X = 0.


So let's do that.  Let's do the y intercept first.  I'll just "plug" 0 where "X" is in the equation:


4x + 5y = 40   (Original equation)
4(0) + 5y = 40  (Plugged 0 in for the X variable)
0 + 5y = 40
5y = 40
y = 8  (Divided both sides of the equation by 5 to isolate the "Y")

SO - now you know that when X = 0, then Y = 8.  SO your y intercept is 8.  You can use this ordered pair:  (0, 8)



Now let's find the X intercept.  I'll just "plug" 0 where "Y" is in the equation:

4x + 5y = 40   (Original equation)
4x + 5(0) = 40  (Plugged 0 in for the "Y" variable)
4x + 0 = 40
4x = 40
x = 10 (Divided both sides of the equation by 4 to isolate the "X")


SO - now you know that when Y = 0, then X = 10.  So your X intercept is 10. You can use this ordered pair:  (10, 0)


I hope this helps. :-)