Question

The slope of the line represented by the equation 2(x - 3) - 6y = 10 is
equal to what?

Answer 1

`(1)/(3)`

Explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y =
`(2)/(6)`x -
`(16)/(6)`

Simplifying gives;

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

So the slope of this line =
`(1)/(3)`