Question

2) Find the gradients of

lines A and B
Gradient of line A =
Gradient of line B =
-3
-2 -1
2
10
АУ
0
-4
6
A
B
2
3
X
(4)

Answer 1

gradient of line A = 2 , gradient of line B = 6

Explanation:

calculate the gradients using the gradient formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on line A

`m_(A)` =
`(4-0)/(0-(-2))` =
`(4)/(0+2)` =
`(4)/(2)` = 2

repeat with

(x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (0, - 6) ← 2 points on line B

`m_(B)` =
`(-6-0)/(0-1)` =
`(-6)/(-1)` = 6