Straight lines Quiz

1. Find the gradient of the line through $(2,-1)$ and $(6,7)$.

• A. $\frac12$
• B. $2$
• C. $-2$
• D. $4$

2. Which is the equation of the line with gradient $-3$ through $(1,4)$?

• A. $3x+y-7=0$
• B. $3x-y+1=0$
• C. $x+3y-13=0$
• D. $3x+y+7=0$

3. Which line is perpendicular to $2x-5y+1=0$?

• A. $2x-5y+7=0$
• B. $5x-2y+3=0$
• C. $5x+2y-3=0$
• D. $2x+5y+1=0$

4. A line has equation $y=4x-1$. A parallel line passes through $(2,3)$. What is its equation?

• A. $y=4x-5$
• B. $y=4x+1$
• C. $y=-\frac14x+\frac72$
• D. $y=4x-11$

5. A plumber charges £35 call-out plus £20 per hour. Which equation gives the cost £$C$ for $t$ hours?

• A. $C=35t+20$
• B. $C=55t$
• C. $C=20t-35$
• D. $C=20t+35$