Writing Equations of Parallel and Perpendicular Lines

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

through: (-2, 0), parallel to $y = \frac{3}{4}x$

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

$y = \frac{3}{2}x - \frac{3}{4}$

$y = -\frac{3}{4}x + \frac{3}{2}$

$y = \frac{3}{4}x + \frac{3}{2}$

Question 1 of 8

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

through: (4, 4), parallel to $y = 2x$

$y = -4x + 2$

$y = -4x - 4$

$y = 4x - 4$

$y = 2x - 4$

Question 2 of 8

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

throug: (-1, -5), parallel to $y = 10x$

$y = -3x + 10$

$y = 5x + 10$

$y = 10x + 5$

$y = -10x + 5$

Question 3 of 8

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

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

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

$y = 3x - -\frac{5}{2}$

$y = -\frac{5}{2}x + 3$

$y = -\frac{1}{2}x + 3$

Question 4 of 8

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

through: (2, 1), perp. to $y = -\frac{2}{5}x$

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

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

$y = -x - 4$

$y = 3x - 4$

Question 5 of 8

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

through: (-4, -2), perp. to $y = 2x$

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

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

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

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

Question 6 of 8

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

through: (-3, 0), perp. to $y = \frac{2}{3}x$

$y = -\frac{1}{2}x - \frac{3}{2}$

$y = -\frac{3}{2}x - \frac{1}{2}$

$y = -\frac{9}{2}x - \frac{3}{2}$

$y = -\frac{3}{2}x - \frac{9}{2}$

Question 7 of 8

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

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

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

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

$y = -\frac{3}{5}x - 2$

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

Question 8 of 8

Writing Equations of Parallel and Perpendicular Lines – Practice 01