Question

How do you write an equation in point slope form given slope 5, (-2, 8)?

Answer 1

See a 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 values from the point from the problem gives:

`(y - color(red)(8)) = color(blue)(5)(x - color(red)(-2))`

`(y - color(red)(8)) = color(blue)(5)(x + color(red)(2))`