Question

What is the slope of the graph of the equation 4x - 6y=2?

Answer 1

slope m =
`(2)/(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 the equation

4x - 6y = 2 ( subtract 4x from both sides )

- 6y = - 4x + 2 ( divide through by - 6 )

`(-6)/(-6)` y =
`(-4)/(-6)` x +
`(2)/(-6)` , that is

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

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

Answer 2

4x - 6y = 2

2x - 3y = 1

-3y = -2x + 1

y = (2/3)x - (1/3)

m = 2/3