Parallel and perpendicular lines Quiz

1. Which line is parallel to $y=4x-1$?

• A. $y=-4x+1$
• B. $y=4x+7$
• C. $y=\frac14x-1$
• D. $y=-\frac14x+1$

2. Find the gradient of a line perpendicular to $y=2x+5$.

• A. $2$
• B. $-2$
• C. $\frac12$
• D. $-\frac12$

3. The lines $y=3x+1$ and $y=-\frac13x+4$ are:

• A. Perpendicular
• B. Parallel
• C. Neither
• D. The same line

4. Find the equation of the line through $(1,4)$ parallel to $y=2x+3$.

• A. $y=2x+4$
• B. $y=2x+3$
• C. $y=2x+2$
• D. $y=-\frac12x+\frac92$

5. Find the equation of the line through $(0,3)$ perpendicular to $y=\frac12x+1$.

• A. $y=2x+3$
• B. $y=-2x+3$
• C. $y=-\frac12x+3$
• D. $y=-2x+1$