Question

Find the gradient and y-intercept of x-2y=8
(show your working)

Answer 1

gradient =
`(1)/(2)` , y- intercept = - 4

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c is the y- intercept )

given

x - 2y = 8 ( subtract x from both sides )

- 2y = - x + 8 ( divide through by - 2 )

y =
`(1)/(2)` x - 4 ← in slope- intercept form

with gradient m =
`(1)/(2)` and y- intercept c = - 4

Answer 2

x-2y=8

Explanation:

x=8+2y

The gradient is 2