Question

How do you write the equation in point slope form given Point: (7, 4); Slope: 6?

Answer 1

`y = 6x -38`

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.`(7,4) and m = 6`

`y-4 = 6(x-7)" "` multiply out and simplify:

`y = 6x -42+4`

`y = 6x -38`