2.1 Equation of a straight line Quiz

1. Find the gradient of the line through $(-1, 3)$ and $(3, -5)$.

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

2. Which line is parallel to $4x-2y+7=0$?

• A. $y=-2x+1$
• B. $y=\frac12x+3$
• C. $y=-\frac12x$
• D. $y=2x-9$

3. A line has gradient $-\frac25$. What is the gradient of a perpendicular line?

• A. $\frac52$
• B. $-\frac52$
• C. $\frac25$
• D. $-\frac25$

4. A road rises 18 m over a horizontal distance of 300 m. What is its gradient as a percentage?

• A. $18\%$
• B. $1.8\%$
• C. $6\%$
• D. $16.7\%$

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

• A. $y=3x-10$
• B. $y=3x-14$
• C. $y=3x+14$
• D. $y=3x-2$