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A105-Equations of Parallel and Perpendicular Lines

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Write the slope-intercept form of the equation of the line described.

1. Through: $(-4, 2)$ , parallel to $y = -4$

$y = -2x$

$y = 2x$

$y = 2$

$y = - \frac{1}{2} + 1$

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Question 1 of 12

2. Through: $(-3, -1)$ , parallel to $y = - \frac{4}{3}x - 4$

$y = x - 5$

$y = -\frac{4}{3} - 5$

$y = 4x - 5$

$y = -4x - 5$

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Question 2 of 12

3. Through: $(-3, -5)$ , parallel to $y = \frac{9}{2}x - 5$

$y = \frac{5}{2}x + \frac{17}{2}$

$y = \frac{17}{2}x + \frac{5}{2}$

$y = -\frac{9}{2}x + \frac{17}{2}$

$y = \frac{9}{2}x + \frac{17}{2}$

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Question 3 of 12

4. Through: $(3, 5)$ , parallel to $y = 2x + 5$

$y = -2x - 1$

$y = -x - 3$

$y = -3x - 1$

$y = 2x - 1$

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Question 4 of 12

5. Through: $(-5, 1)$ , parallel to $y = - \frac{5}{6}x + 4$

$y = -\frac{2}{3}x - \frac{19}{6}$

$y = \frac{1}{3}x - \frac{19}{6}$

$y = -\frac{5}{6}x - \frac{19}{6}$

$y = -\frac{1}{2}x - \frac{19}{6}$

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Question 5 of 12

6. Through: $(-3, 4)$ , parallel to $y = \frac{1}{3}x$

$y = -\frac{5}{3}x + 5$

$y = 5x + \frac{1}{3}$

$y = -\frac{1}{3}x + 5$

$y = \frac{1}{3}x + 5$

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Question 6 of 12

7. Through: $(-1, 2)$ , perp. to $y = - \frac{4}{5}x - 3$

$y = \frac{5}{4}x + \frac{13}{4}$

$y = \frac{13}{4}x + \frac{5}{4}$

$y = -\frac{1}{2}x + \frac{5}{4}$

$y = -\frac{13}{4}x + \frac{5}{4}$

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Question 7 of 12

8. Through: $(3, 1)$ , perp. to $y = -x - 2$

$y = 5x - 2$

$y = x - 2$

$y = -x - 2$

$y = -2x + 1$

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Question 8 of 12

9. Through: $(5, 4)$ , perp. to $y = - \frac{5}{6}x + 4$

$y = 2x + \frac{6}{5}$

$y = -2x + \frac{6}{5}$

$y = \frac{6}{5}x - 2$

$y = -\frac{2}{5}x + \frac{6}{5}$

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Question 9 of 12

10. Through: $(-5, 0)$ , perp. to $y = - \frac{5}{3}x - 4$

$y = 3x + \frac{3}{5}$

$y = -\frac{1}{5}x + \frac{3}{5}$

$y = \frac{3}{5}x + 3$

$y = \frac{3}{5}x - \frac{1}{5}$

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Question 10 of 12

11. Through: $(-4, 4)$ , perp. to $y = 2x - 1$

$y = \frac{1}{2}x + 2$

$y = -x + 2$

$y = -\frac{1}{2}x + 2$

$y = x + 2$

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Question 11 of 12

12. Through: $(-3, 4)$ , perp. to $y = \frac{8}{3}x + 2$

$y = - \frac{3}{8}x + \frac{23}{8}$

$y = \frac{1}{2}x + \frac{23}{8}$

$y = \frac{28}{8}x + \frac{1}{2}$

$y = -\frac{1}{4}x + \frac{1}{2}$

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Question 12 of 12

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