Question

The line AB is parallel to the line with equation 2y = 3x -4

What is the gradient of the line AB?

Answer 1

3/2

Explanation:

First, let's simplify the given equation to make it easier to see the gradient (slope).

2y = 3x - 4 (Given)

y = 3/2x - 2 (Divided 2 on both sides)

Now, we can see that the gradient of the given line is 3/2. Since line AB is parallel to the given line, it will have the same gradient. Therefore, line AB's gradient is 3/2.