Question

What is the slope intercept form of the line passing through `(14,9)` with a slope of `-1/7`?

Answer 1

`y = -1/7x +11`

Explanation:

When working with equations of straight lines, there is really nifty formula which applies in a case like this. We are given a slope and one point and need to find the equation of the line.

`(y-y_1) = m(x-x_1)` where the given point is `(x_1,y_1)`

Substitute the values given.

`y-9 = -1/7(x-14)" "` multiply out and simplify.

`y = -1/7 x + 2 +9`

`y = -1/7x +11" "` is the equation in standard form.