What is the equation in point-slope form of the line given (5,-1); m=-2/3?

1 Answer
Jun 26, 2018

See a solution process below:

Explanation:

The point-slope form of a linear equation is: #(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))#

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

Substituting the information from the problem gives:

#(y - color(blue)(-1)) = color(red)(-2/3)(x - color(blue)(5))#

#(y + color(blue)(1)) = color(red)(-2/3)(x - color(blue)(5))#