Objective 3

1
Objective 3

• Linear Functions

2
Objective 3 Practice 1

• What is the slope of the line identified by
• 2y -3(x - 2)?
• A -3
• B -3/2
• C 2/3
• D 2

3
Objective 3 Practice 2

• What are the slope and y-intercept of a line that
  contains the point (5, -1) and has the same
  y-intercept as x - 3y 6?
• A m 1/3
• b 6
• B m 5
• b -2
• C m 1/5
• b -2
• D m 3
• b 6

4
Objective 3 Practice 3

• Given the function y 3.54x - 54.68, which
  statement best describes the effect of increasing
  the y-intercept by 33.14?
• A The new line is parallel to the original.
• B The new line has a greater rate of change.
• C The x-intercept increases.
• D The y-intercept decreases.

5
Objective 3 Practice 4

• What is the y-intercept of the function graphed
  below?
• A -24
• B -21
• C -18
• D -9

6
Objective 3 Practice 5

• The graph of a line is shown below. If the slope
  of this line is multiplied by -1 and the
  y-intercept decreases by 2 units, which linear
  equation represents these changes?
• A y -2x 1
• B y -x 1
• C y -x - 1
• D y - 1/2x - 1

7
Objective 3 Practice 6

• Which equation represents the line that passes
  through the points (-1, 4) and (3, 2)?

8
Objective 3 Practice 7

• What are the coordinates of the x-intercept of
  the equation
• -3y 8 - 2x?

9
Objective 3 Practice 8

• Matt is a speed skater. His coach recorded the
  following data during a timed practice period. If
  Matt continues to skate at the rate shown in the
  table, what is the approximate distance in meters
  he will skate in 25 seconds?
• A 250 m
• B 175 m
• C 150 m
• D 278 m

10
Objective 3 Practice 9

• What are the slope and y-intercept of the
  equation of the line graphed below?

11
Objective 3 Practice 10
Which equation best represents the line on the
graph? F 3x - 2y -4 G 3x 2y -6 H 3x -
2y 6 J 2x - 3y -6
12
Objective 3 Practice 11
Which function represents the line that contains
the point (2, 12) and has a slope of -3? F
f(x) -3x 6 G f(x) -3x 18 H f(x)
-3x 34 J f(x) -3x 38
13
Objective 3 Practice 12
What are the coordinates of the y-intercept of
the line represented by the equation 4x 2y
10? A (0, 2) B (0, 5/2) C (0, 5) D
(0, 10)
14
Objective 3 Practice 13
Find the slope of the line identified by the
equation 4x 5y 20. F 4 G
5/4 H -4/5 J -4
15
Objective 3 Practice 14
The line represented by the equation y x 3
is graphed below. Which of the following best
describes the effect on the graph when the slope
is doubled? A The y-intercept increases. B The
y-intercept decreases. C The x-intercept
increases. D The x-intercept decreases.