Question

How do you write the point slope form of the equation given m=-1 and (-6,12)?

Answer 1

`(y - color(red)(12)) = color(blue)(-1)(x + color(red)(6))`

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 information given in the problem gives:

`(y - color(red)(12)) = color(blue)(-1)(x - color(red)(-6))`

`(y - color(red)(12)) = color(blue)(-1)(x + color(red)(6))`