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

1 Answer
Jul 20, 2016

#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#