Question

The slope of the line whose equation is 3y = 2x - 3 is
2
2/3
3/2

Answer 1

Answer:
`=(2)/(3)`

Explanation:

The equation of a line in intercept form is given by:-

`y=mx+c`, where m is the slope of line and c is the y-intercept.

(1)

Given : Equation of line :
`3y = 2x - 3`

Transform above equation into slope -intercept form by dividing 3 on both sides , we get

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

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

Comparing (1) and (2), we get

`m =(2)/(3)`

Hence, the slope of the line
`=(2)/(3)`

Answer 2

Rewrite the equation in slope-intercept form by isolation the y value:

3y = 2x - 3

To isolate Y divide all terms by 3:

y = 2x/3 - 3/3

y = 2/3x -1

The slope is the value with x

Slope = 2/3