Academic Worksheet 8.4
Tell whether the slope of the line is positive, negative, zero, or undefined. Then find the slope.
1.
2.
Find the slope of the line through the given points.
4. (6, 3), (14, 19)
5. (8, 48), (16, 24)
7. (−6, −17), (−22, −12)
8. (7, 20), (−13, 10)
3.
6. (4, 4), (32, 18)
9. (−4, 15), (−9, 11)
10. The slope of the roof of a house is called the pitch of the roof. Find the pitch of the roof shown.
11. The figure shows a person parasailing from a boat on the
water. Find the slope of the tow line from the boat to the
person parasailing.
12. A manufacturing company spent $700 on equipment and then a fixed amount per unit. The graph
shows the cost to make 𝑥 units at the manufacturing company.
a. Find the slope of the line.
b. What information about the company can
you obtain from the slope?
c. A second manufacturing company spent
$700 on equipment and $2.50 per unit.
Suppose you made a graph showing the
cost to make 𝑥 units at the second
manufacturing company. How would the
graph of the second company compare with
the graph of the first company? Explain
your thinking.
Academic Worksheet 8.5
Identify the slope and y-intercept of the line with the given equation. (Hint: make sure the equation is in
function form first)
1. 𝑦 = −5𝑥
2. 𝑦 = 2𝑥 + 1
3. 𝑦 = −4𝑥 − 2
4. 𝑥 + 𝑦 = 5
5. 2𝑥 + 3𝑦 = 6
6. 4𝑥 − 2𝑦 = 8
Match the equation with its graph.
1
7. 𝑦 = 𝑥 + 2
2
A.
1
8. 𝑦 = 2𝑥 +
2
B.
9. 𝑦 = −2𝑥 + 2
C.
Identify the slope and y-intercept of the line with the given equation. Use the slope and y-intercept to graph
the equation.
1
10. 𝑦 = 3𝑥 + 2
12. 𝑦 − 2𝑥 = 3
11. 𝑦 = − 𝑥 + 3
2
For the line with the given equation, find the slope of a parallel line and the perpendicular line.
3
14. 𝑦 = 6𝑥 − 3
15. 𝑦 − 𝑥 = 4
13. 𝑦 = 𝑥 + 4
4
16. You fill an aquarium with water. The water is 22 inches deep. The water evaporates at a rate of 2 inches
per week.
a. Write an equation that approximates the depth 𝑦 of water in the aquarium 𝑥 weeks after you fill it.
b. After two weeks, you have not yet refilled the aquarium. What is the depth of the water?
Academic Worksheet 8.6
Write an equation of the line with the given slope and y-intercept.
3
1. slope = −3; y-intercept = −2
2. slope = − 4; y-intercept = 3
Write an equation of the line.
3.
4.
Write an equation of the line through the given points.
6. (0, 4), (3, 3)
7. (2, −3), (0, 5)
5.
8. (0, −2), (3, −2)
9. Write an equation of the line that is parallel to line 𝑎 and passes
through the point (0, 9).
10. Write an equation of the line perpendicular to the line 𝑎 that
passes through the point (0, −2).
11. Show that the table represents a function. Then write an equation
for the function.
12. The table shows the number of scientists that attended an annual seminar from 1999 – 2003.
a. Make a scatter plot of the data pairs. Draw the line that
appears to best fit the points.
b. Write an equation of your line.
c. Use your equation to predict the number of scientists that
will attend in 2008.