What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is
2 |
3 |
?
- A.
-2 - B.
-1 - C.
1 - D.
2
Correct Answer: Option D
Explanation
Gradient = | y_{2} – y_{1} |
x_{2} – x_{1} |
| = | 4-p | ||
p-(-1) |
| = | 4-p | ||
p+1 |
3(4-p) = 2(p+1)
12 – 3p = 2p + 2
12 – 2 = 2p + 3p
10 = 5p
p = | 10 |
5 |
= 2