Question

Find the gradients of lines A and B

Answer 1

blue line: y = x + 2 || green line: y = -2x+3

Explanation:

For blue line:

take two coordinates: (0,2),(1,3)

slope:

`(y2-y1)/(x2-x1)`

`(3-2)/(1-0)`

`1`

equation:

y - y1 = m(x - x1)

y - 2 = 1(x - 0)

y = x + 2

For green line:

take two coordinates: (0,3),(2,-1)

slope:

`(y2-y1)/(x2-x1)`

`(-1-3)/(2-0)`

`-2`

equation:

y - y1 = m(x - x1)

y - 3 = -2(x-0)

y = -2x+3