Question

If the line that passes through `(0, -5)` and `(2, g)` has slope `1/6`, what is the value of `g`?

Answer 1

`g = 7`

Explanation:

The formula for slope of a line with points `(x_1, y_1)` and `(x_2, y_2)` is `m = (y_2 - y_1)/(x_2 - x_1)`.

`1/6 = (0 - 2)/(-5 - g)`

`1(-5 - g) = 6(-2)`

`-5 - g = -12`

`-g = -7`

`g = 7`

Hopefully this helps!