Question

Find the gradient of the line 2x-3y=5 and convert to the gradient intercept form,y=Mx+c

Answer 1

see explanation

Explanation:

the equation of a line in gradient- intercept form is

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

given

2x - 3y = 5 ( subtract 2x from both sides )

- 3y = - 2x + 5 ( divide through by - 3 )

y =
`(2)/(3)` x -
`(5)/(3)` ← in gradient- intercept form

with gradient m =
`(2)/(3)`