Which pair of equations represents two parallel lines?

$y = -3x + 4$ and $y = -3x - 1$

Which statement is true about the lines represented by $y = 9x - 2$ and $y = 9x - 2$?

The lines have different slopes.

What must be true for two nonvertical lines to be parallel?

They have the same y-intercept.

Their slopes are negative reciprocals.

They have the same slope and different y-intercepts.

Writing Equations of Parallel and Perpendicular Lines Practice — Grade 9 math

Lesson 65: Writing Equations of Parallel and Perpendicular Lines — Practice Questions

1. Which pair of equations represents two parallel lines?
- A. $y = 5x + 2$ and $y = 2x + 5$
- B. $y = -3x + 4$ and $y = -3x - 1$
- C. $y = 4x + 6$ and $y = -4x + 6$
- D. $y = x + 7$ and $y = 7x + 1$
2. A line is parallel to the graph of the equation $y = -5x + 8$. What is the slope of this parallel line? ___
3. Which statement is true about the lines represented by $y = 9x - 2$ and $y = 9x - 2$?
- A. The lines are parallel.
- B. The lines are the same line.
- C. The lines are perpendicular.
- D. The lines have different slopes.
4. Line 1 is given by $y = 4x + 7$. Line 2 is given by $y = kx - 3$. If the two lines are parallel, what is the value of $k$? ___
5. What must be true for two nonvertical lines to be parallel?
- A. They have the same y-intercept.
- B. Their slopes are negative reciprocals.
- C. They have the same slope and different y-intercepts.
- D. Their slopes are opposites.
6. A line is perpendicular to the graph of $y = \frac{2}{3}x - 5$. What slope should be used to define the perpendicular line?
- A. $\frac{2}{3}$
- B. $-\frac{2}{3}$
- C. $\frac{3}{2}$
- D. $-\frac{3}{2}$
7. A new line is to be drawn through the point $(1, 7)$ and perpendicular to the line $y = -5x + 3$. The slope of this new line is ___.
8. The equation of a line that passes through the point $(8, 3)$ and is perpendicular to the line $y = 2x + 9$ is $y = \_\_\_$.
9. What is the equation of the line passing through point $(3, -2)$ and perpendicular to the line $y = -\frac{3}{4}x + 1$?
- A. $y = \frac{4}{3}x - 6$
- B. $y = -\frac{4}{3}x + 2$
- C. $y = \frac{3}{4}x - \frac{17}{4}$
- D. $y = -\frac{3}{4}x + \frac{1}{4}$
10. Which statement correctly describes the relationship between the lines $y = \frac{1}{5}x + 10$ and $y = -5x - 2$?
- A. The lines are parallel.
- B. The lines are perpendicular.
- C. The lines are identical.
- D. The lines intersect, but not at a right angle.