Question

What is the equation of a line through the point (1,3) that has a slope of 2?

Answer 1

`y = 2x + 1`

Explanation:

Well if the slope is the gradient you have the formula `y - y_1 = m(x - x_1)` so the equation of the line becomes:

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

`=>y - 3 = 2x - 2`

`y = 2 x + 1` (in `y = m x + b` form)

or

`2x - y +1 = 0` (`ax + by + c` form)