Equations of straight lines Quiz

1. Find the gradient of the line through $(2,3)$ and $(6,11)$.

• A. $\frac12$
• B. $2$
• C. $8$
• D. $-2$

2. Find the equation of the line through $(1,4)$ with gradient $3$.

• A. $y-4=3(x-1)$
• B. $y-1=3(x-4)$
• C. $y+4=3(x+1)$
• D. $y=3x+4$

3. A line is perpendicular to $y=\frac12x+1$. Its gradient is

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

4. Which line is parallel to $2x+3y=5$?

• A. $3x-2y=5$
• B. $2x-3y=5$
• C. $3x+2y=5$
• D. $4x+6y=1$

5. Find the line through the origin perpendicular to $2x-y+3=0$.

• A. $2x+y=0$
• B. $x+2y=0$
• C. $x-2y=0$
• D. $2x-y=0$