Lines and function graphs

Intercepts, writing the equation of a line, and exponential functions.

5 sheets · 50 questions · one answer key · 7 pages

Recommended for grades 8–9

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The x-intercept Sheet 1 of 5

Intercepts of a lineThe x-intercept

Name: Date:

Find the x-intercept of each line.

14x + y = 4x =

23x + 2y = −18x =

3x − y = −9x =

43x + 4y = 24x =

5x + 9y = 9x =

69x + 5y = −45x =

78x − y = −8x =

84x + y = 8x =

9x + 3y = 9x =

104x − 3y = −24x =

Intercepts of a lineThe y-intercept

Name: Date:

Find the y-intercept of each line.

1x + y = −1y =

2x − y = −9y =

35x − 8y = −40y =

4x + y = −5y =

55x + y = −5y =

69x + 4y = 36y =

75x − y = 5y =

8x − 3y = 9y =

99x + 8y = 72y =

105x + 7y = 35y =

Write the equation of a lineFrom two points

Name: Date:

Write the equation of each line through the two points.

1through (−3, −16) and (−1, −10)

2through (−3, −1) and (−1, 1)

3through (−1, 2) and (2, 11)

4through (−2, 4) and (1, 7)

5through (1, 5) and (2, 7)

6through (1, 1) and (3, 9)

7through (1, 11) and (3, 15)

8through (2, −13) and (4, −17)

9through (−2, −2) and (1, −11)

10through (−3, −6) and (−1, −4)

Write the equation of a lineFrom a slope and a point

Name: Date:

Write the equation of each line from its slope and point.

1with slope 2 through (−1, 4)

2with slope 2 through (3, 10)

3with slope 3 through (2, 4)

4with slope 3 through (−3, −6)

5with slope −2 through (2, −6)

6with slope −2 through (2, 1)

7with slope −4 through (2, −4)

8with slope 2 through (−1, 7)

9with slope −2 through (−2, 10)

10with slope 4 through (−1, −2)

Exponential functionsFinding f(x)

Name: Date:

Evaluate each exponential function at the value given.

1f(x) = 3 · 6^xf(2) =

2f(x) = 7 · 4^xf(1) =

3f(x) = 10 · 4^xf(2) =

4f(x) = 7 · 8^xf(3) =

5f(x) = 7 · 3^xf(1) =

6f(x) = 6 · 4^xf(3) =

7f(x) = 5 · 9^xf(3) =

8f(x) = 6 · 8^xf(3) =

9f(x) = 5 · 5^xf(1) =

10f(x) = 7 · 10^xf(1) =

Power Pack · Lines and function graphsAnswer key

The x-intercept

1. 4x + y = 4 the x-intercept = 12. 3x + 2y = −18 the x-intercept = −63. x − y = −9 the x-intercept = −94. 3x + 4y = 24 the x-intercept = 85. x + 9y = 9 the x-intercept = 96. 9x + 5y = −45 the x-intercept = −57. 8x − y = −8 the x-intercept = −18. 4x + y = 8 the x-intercept = 29. x + 3y = 9 the x-intercept = 910. 4x − 3y = −24 the x-intercept = −6

The y-intercept

1. x + y = −1 the y-intercept = −12. x − y = −9 the y-intercept = 93. 5x − 8y = −40 the y-intercept = 54. x + y = −5 the y-intercept = −55. 5x + y = −5 the y-intercept = −56. 9x + 4y = 36 the y-intercept = 97. 5x − y = 5 the y-intercept = −58. x − 3y = 9 the y-intercept = −39. 9x + 8y = 72 the y-intercept = 910. 5x + 7y = 35 the y-intercept = 5

A line from two points

1. through (−3, −16) and (−1, −10) → y = 3x − 72. through (−3, −1) and (−1, 1) → y = x + 23. through (−1, 2) and (2, 11) → y = 3x + 54. through (−2, 4) and (1, 7) → y = x + 65. through (1, 5) and (2, 7) → y = 2x + 36. through (1, 1) and (3, 9) → y = 4x − 37. through (1, 11) and (3, 15) → y = 2x + 98. through (2, −13) and (4, −17) → y = −2x − 99. through (−2, −2) and (1, −11) → y = −3x − 810. through (−3, −6) and (−1, −4) → y = x − 3

A line from slope and point

1. with slope 2 through (−1, 4) → y = 2x + 62. with slope 2 through (3, 10) → y = 2x + 43. with slope 3 through (2, 4) → y = 3x − 24. with slope 3 through (−3, −6) → y = 3x + 35. with slope −2 through (2, −6) → y = −2x − 26. with slope −2 through (2, 1) → y = −2x + 57. with slope −4 through (2, −4) → y = −4x + 48. with slope 2 through (−1, 7) → y = 2x + 9

Power Pack · Lines and function graphsAnswer key

A line from slope and point

9. with slope −2 through (−2, 10) → y = −2x + 610. with slope 4 through (−1, −2) → y = 4x + 2

Exponential functions

1. f(x) = 3 · 6ˣ → f(2) = 1082. f(x) = 7 · 4ˣ → f(1) = 283. f(x) = 10 · 4ˣ → f(2) = 1604. f(x) = 7 · 8ˣ → f(3) = 35845. f(x) = 7 · 3ˣ → f(1) = 216. f(x) = 6 · 4ˣ → f(3) = 3847. f(x) = 5 · 9ˣ → f(3) = 36458. f(x) = 6 · 8ˣ → f(3) = 30729. f(x) = 5 · 5ˣ → f(1) = 2510. f(x) = 7 · 10ˣ → f(1) = 70

Lines and function graphs

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