MATH Integrated Math III  - Unit 2: Equations in Two Variables; Parallel and Perpendicular Lines
For the first three problems, write an equation in slope-intercept form (y = mx + b) for the line that has the given slope (m) and contains the given point. State or select the letter of the correct answer.

1) Determine the equation for the given information.

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2) Determine the equation for the following information: m = 0, (–7, 8).

3) Determine the equation for the given information.

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For the next three problems, write an equation in slope-intercept form for the line containing the indicated points. State or select the letter of the correct answer.

4) Points: (1, –3) and (3, –5)

5) Points: (8, –3) and (–8, 3)

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6) Points: (–6, –6) and (–3, 1)

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For the next four problems, write an equation, in slope-intercept form for the line that contains the given point and is parallel to the given equation. For equations in which the slope is a fraction, enter the answer as shown in the example below.

7) (–2, 3); y = –3x + 2

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8) (4, –3); –4x + y = 7

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9) (3, 0); –x + 2y = 17

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10) (–6, 2); y = (–2/3)x – 3

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For the next four problems, write an equation, in slope-intercept form, for the line that contains the given point and is PERPENDICULAR to the given equation.

11) (–2, 5); y = –2x + 4

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12) (3, –1); 12x + 4y = 8

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13) (–2, 4); x – 6y = 15

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14) (2, 5); 6x + 2y = 24

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15) Describe the relationship of the slopes of the equations of two parallel lines. Include an example.

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16) Describe the relationship of the slopes of the equations of two perpendicular lines. Include an example.

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17) Explain how to write an equation for the line that contains the point (2, –3) and is parallel to the graph of x + 2y = 2.

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18) Explain how to write an equation for the line that contains the point (2, –3) and is perpendicular to the graph of x + 2y = 2.

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Review

For the next two problems, graph the equation on graph paper using the slope and y-intercept method, and then choose the correct graph of the equation. State the letter of the correct answer.

19) Which is the graph of 3y – x = 6?

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20) Which is the graph of the given equation?

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For the next four problems, find the slope of each line containing the given points.

21) Points: (3, 4) and (5, 4)

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22) Points: (–2, 8) and (–2, –1)

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23) What is the slope of the line that contains the given points?

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24) Points: (–4, 8) and (–3, –6)

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