Question

Another one. Find the gradients of the lines A and B.

Answer 1

Explanation:

Gradient of a line is the same as slope of the line. Slope is defined as the ratio of the rate of change in the y(vertical) axis to the rate of change in the x(horizontal) axis.

Slope = (y2 - y1)/(x2 - x1)

Slope is denoted by m. Therefore,

For line A,

y1 = - 1

y2 = 3

x1 = 2

x2 = 3

Slope, m = (3 - - 1)/((3 - 2) = 4/1 = 4

For line B,

y1 = 5

y2 = 1

x1 = - 2

x2 = 0

Slope, m = (1 - 5)/((0 - - 2) = - 4/2 = - 2