Question

Work out m and c for the line:
3y - 2x = -1

Answer 1

m =
`(2)/(3)`, c = -
`(1)/(3)`

Explanation:

The equation of a line in slope- intercept form is

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

Given

3y - 2x = - 1 ( add 2 x to both sides )

3y = 2x - 1 ( divide terms by 3 )

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

with slope m =
`(2)/(3)` and y- intercept c = -
`(1)/(3)`

Answer 2

m=2/3

and

c=-3/2