EXAMPLE
Find the y intercept of 2xþ3y¼9.
SOLUTION
Substitute 0 for x and solve for y:
2xþ3y¼ 9
2 ð 0 Þþ3y¼ 9
0 þ3y¼ 9
3y¼ 9
3y
3
¼
9
3
y¼ 3
Hence, the y intercept is (0, 3).
The point on the graph where a line crosses the x axis is called the
x intercept(see Fig. 11-22).
To find the x intercept, let y¼0 and substitute in the equation, and then solve
for x.
EXAMPLE
Find the x intercept for 5xþ2y¼30.
SOLUTION
Substitute 0 for y and solve for x:
220 CHAPTER 11 Graphing
Fig. 11-22.