Question

How do you write the equation in point slope form given (5,-2) and m=2?

Answer 1

`(y + color(red)(2)) = color(blue)(2)(x - color(red)(5))`

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 values from the problem gives:

`(y - color(red)(-2)) = color(blue)(2)(x - color(red)(5))`

`(y + color(red)(2)) = color(blue)(2)(x - color(red)(5))`