(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1) and (2, - 2)

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

               ...(i)

We have,

                  ...(ii)

On comparing (i) and (ii), we get

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

Therefore, the gradient of the line L is .

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