Question

Finding the slope of the line 3(y-1)=2x+2

Answer 1

slope =
`(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

3(y - 1) = 2x + 2 ← distribute parenthesis on left side

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

3y = 2x + 5 ( divide all terms by 3 )

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

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