5.1.2 Using Intercepts − Worksheet
Example 1: Find the x - and y -intercepts. 1. y
2.
3.
y
y
4
4
4
2
2
2
x
x
x
0
–4 –2
0
4
–4 –2
4
0
–4 –2
2
4
–2
–2
–4
–4
–4
4. 2 x − 4 y = 4
5. − 2 y = 3 x − 6
6. 4 y + 5 x = 2 y − 3 x + 16
Example 2: 7. To thaw a specimen stored at − 25°C, the temperature of a refrigeration tank is raised 5°C every hour. The temperature in the tank after x hours can be described by the function f ( x ) = − 25 + 5 x . a. Graph the function and find its intercepts.
b. What does each intercept represent?
Example 3: Use intercepts to graph the line decribed by each equation. 8. 4 x − 5 y = 20 9. y = 2 x + 4 10. − = x y
1 3
1 4
11. − 5 y + 2 x = − 10
2
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