Question

A straight line has equation 4y-5x=2 work out the gradient of this line

Answer 1

gradient =
`(5)/(4)`

Explanation:

The equation of a line in slope- intercept form is

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

Given

4y - 5x = 2 ( add 5x to both sides )

4y = 5x + 2 ( divide the terms by 4 )

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

with gradient m =
`(5)/(4)`