MAT 110 MODULE 6 CHECK YOUR UNDERSTANDING
1. Match the graph with one of the equations.
2. A line passing through (–9, –4) and (10, y) is perpendicular to a line with slope - . Find the value of y.
3. Find the y-intercept of the line represented by the following equation:
7x – y = –7
4. Graph f(x) = 3x + 2.
5. Write the equation of the line that passes through point (0, –5) with a slope of –6.
6. Write the equation of the line passing through (–3, –4) and (–3, 3). Write your results in slope-intercept form, if possible.
7. Find the slope of any line perpendicular to the line through points (5, 12) and (6, 2).
8. Write the equation of the line with x-intercept (–4, 0) and undefined slope. Write your results in slope-intercept form, if possible.
9. Determine which two equations represent perpendicular lines.
11. Determine which two equations represent parallel lines.
12. Write the equation of the line with slope –6 and y-intercept (0, 9).
13. Find the slope of the following equation: y = 3x + 5
14. Use the concept of slope to determine whether the given figure is a right triangle (i.e., does the triangle contain a right angle?).
15. Match the graph with one of the equations.
16. Are the following lines parallel, perpendicular, or neither?
L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)
17. Rewrite the equation 2x – 3y = –6 as a function of x
18. You have at least $50 in change in your piggy bank, consisting of nickels and pennies. Write an inequality that shows the different number of coins in your piggy bank.
19. Given f(x) = –5x + 3, find f(a – 3).
20. Graph the inequality. 3(x – y) + 2x < 3
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03 Feb 2016
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MAT 110 MODULE 6 CHECK YOUR UNDERSTANDING
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