Question

Find the gradients of lines A and B.

26/63 Marks
B
6
4
3
21
1
-3-2-10 1 2 3 4 5 6
2
A
do No
70%
X

Answer 1

Gradient of A:
`2`

Gradient of B :
`- 1`

Explanation:

Gradient of a line is the slope of the line

Slope = rise/run

rise = difference in y values between any two points on the line

run = difference in x values between the corresponding points

Line A

Take points (0, 1) and (3,7)
rise = 7 - 1 = 6
run = 3 - 0 = 3

slope = gradient = 6/3 = 2

Gradient of a line which goes diagonally up from left to right is positive

Line B

Take points (0,5) and (5, 0)

rise = 0 - 5 = - 5

run = 5 - 0 = 5

slope = gradient = -5/5 = - 1

Gradient of a line which goes diagonally down from left to right is negative