Name:_____________________________________
Chapter 6 Part 2 Test Review
Graph each of the following equations. If the equation is in Standard Form, be sure to find
the x & y intercepts in order to graph.
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1. 𝑦 = 3𝑥 − 2
2. 𝑦 = − 2 𝑥 + 3
3. 4𝑥 − 3𝑦 = 12
4. 6𝑥 + 4𝑦 = 18
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5. 𝑦 + 2 = −3(𝑥 − 1)
6. 𝑦 − 5 = 4 (𝑥 − 12)
7. 𝑥 = 3
8. 𝑦 = −7
For questions 9 – 12, write an equation for a line with the given information in slope-intercept
form.
9. 𝑚 = 4; (2, 1)
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10. 𝑚 = − 5 ; (−5, 1)
11. (−2, −2) 𝑎𝑛𝑑 (4, 10)
12. (1, −6) 𝑎𝑛𝑑 (−5, −4)
For questions 13 – 16, determine whether the lines are parallel, perpendicular or neither.
EXPLAIN.
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13. 𝑦 = − 2 𝑥 + 5
2𝑥 + 4𝑦 = 9
15. 𝑥 + 4𝑦 = 8
8𝑥 − 2𝑦 = 20
14. 4𝑦 − 12𝑥 = 20
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𝑦 = 3𝑥 + 1
16. 5𝑥 + 2𝑦 = 1
−4𝑦 − 10𝑥 = −2
17. Write an equation for a vertical line and an equation for a horizontal line that passes through the point
(-4, 9).
For questions 18 & 19, write an equation in point-slope form for a line that passes through
the given point and is parallel to the given line.
18. 𝑦 = 3𝑥 − 10; (6, −5)
19. 6𝑥 + 9𝑦 = 18;
(−1, 7)
For questions 20 & 21, write an equation in point-slope form for a line that passes through
the given point and is perpendicular to the given line.
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20. 𝑦 = 3 𝑥 − 3; (9, 2)
21. 21𝑥 − 7𝑦 = 14; (3, 4)
22. Suppose your Advisory class is having a talent show to raise money for new music supplies. Your class
estimates that 200 students and 150 adults will attend and that there will be $200 in expenses. Define your
variables and write an equation to find out what ticket prices your class should set in order to raise $1000 (after
you subtract out the expenses).
23. Use the table at the right to complete the following questions on graph paper.
a. Create a scatter plot for the table.
b. Draw a trend line for your data.
c. Write an equation for your trend line.
d. Use your equation from part (c) to predict the calories
needed for a 16 year old male.
e. Use your equation from part (c) to predict the age of a male
who needs 2000 daily calories.