Chapter 6 Part 2 Test
Name ________________________________
Directions: Show all work and reasoning to receive full credit. Neatly!
Graph each equation by finding coordinates for the x and y intercepts.
1.  5 x  4 y  20
2. 3x  2 y  6
x-int: ________
y-int: __________
Graph each equation.
3. y  2  2( x  3)
x-int: _________
4. y  1  2( x  2)
For questions 5 – 8, identify the slope and y-intercept for each equation.
3
5
5. y   x 
6. y  2 x  3
4
8
y-int: _________
7. 2 x  4 y  20
Graph the following lines.
9. x = –1
8. y – 3 = 2(x + 4)
10. y = 4
Use the given information to answer the following questions.
1
11. m   ; (8, -1)
4
a. Write an equation in point-slope form.
c. Graph the equation.
b. Use your answer from part (a) to write
an equation in slope-intercept form.
12. (-3, 3) and (-1, 6)
a. Find the slope of the line.
b. Write an equation in point-slope form.
c. Use your answer from part (a) to write
an equation in slope-intercept form.
c. Graph the equation.
For questions 13 & 14, tell whether each of the following lines is parallel, perpendicular, or neither to the
5
equation y   x  4 and EXPLAIN why.
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13. y 
3
x2
5
14. y 
5
x6
3
For questions 15 & 16, tell whether each of the following lines is parallel, perpendicular, or neither to
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y   x  4 and EXPLAIN why.
3
15. 5 y  25 x  10
16. 15 y  25 x  60
17. Write an equation in point-slope form for the
18. Write an equation in point-slope form for the
line that passes through the given point and is
line that passes through the given point and is
PARALLEL to the given line.
PERPENDICULAR to the given line
y = 2x + 4 ; (-3, 5)
y=
2
3
x – 7 ; (8, -1)
For questions 19 - 20, write an equation for a line using the given information.
19. Write the equation for a vertical line that goes through the point (-2, 5).
20. Write the equation for a horizontal line that goes through the point (3, 7).
21. The grocery store sells blueberries for $5.00 a pound and pears for $3.00 a pound.
a. Define your variables.
x: ___________________
y: ______________________
b. Write an equation in standard form to represent how many pounds of blueberries and pears that a
customer could buy with $18.
22. A local ice cream shop keeps track of their ice cream sales based on the outside temperature. Below is a
scatter plot and trend line that represents the data they recorded over the last twelve days.
Total Ice Cream Sales
Ice Cream Sales over the last 12 Days
a. Write an equation in slope-intercept form for the given trend line.
b. Use you equation from part (a) to predict the ice cream sales on a day when the temperature is 21oC.