Question

A straight line goes through the points (p, q) and (r, s), where (p + 2 = r) and (q + 4 = s). Find the gradient of the line.

a) 1

b) -1

c) 2

d) -2

Answer 1

The gradient of the line passing through the given points is 2.

Step-by-step explanation:

To find the gradient of the line passing through the points (p, q) and (r, s), we can use the formula:

Gradient = (s - q) / (r - p)

Given that p + 2 = r and q + 4 = s, we can substitute these values into the formula:

Gradient = (s - q) / (r - p) = (q + 4 - q) / (p + 2 - p) = 4 / 2 = 2

Therefore, the gradient of the line is 2.