Gradient of a line - Problem solving

The line passing through (4, a) and (8, 1) has gradient ¾. Work out the value of a.

Work out the gradient of the line passing through the points (3, 2) and (7, 20).

(give your answer as a decimal)

A is the point (3, 1). B is the point (a, 11). The gradient of AB is 5/2.

Work out the value of a.

Line L is drawn on the grid. Work out the gradient of Line L.

The line AB passes through the points A(-2, k) and (4, 8).

The gradient of AB is -2. Work out the value of k

The line AB passes through the points A(-3, 4) and (k, 12).

The gradient of AB is 4.

Work out the value of k

The line C is a straight line and has a gradient of 2.

C passes through (x, 0) and (5, 6), where x is a number to be determined.

What is the value of x?

Determine the gradient for the linear function represented by the following table of values:

Find the gradient of the linear relationship between N and T.

(write your answer as a decimal)

Draw a line that has a gradient of -2 and passes through the point (-4,3)