How do you write the equation in point slope form given Point: (2,-6); Slope: -3/4?

1 Answer
Apr 23, 2017

See the solution process below:

Explanation:

The point-slope formula states: #(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))#

Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through.

Substituting the slope and the values from the points in the problem gives:

#(y - color(red)(-6)) = color(blue)(-3/4)(x - color(red)(2))#

#(y + color(red)(6)) = color(blue)(-3/4)(x - color(red)(2))#