Question

How do you write the equation in point slope form given m=-3/4 and point (-8,2)?

Answer 1

`(y - color(red)(2)) = color(blue)(-3/4)(x + color(red)(8))`

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 point and slope given in the problem results in:

`(y - color(red)(2)) = color(blue)(-3/4)(x - color(red)(-8))`

`(y - color(red)(2)) = color(blue)(-3/4)(x + color(red)(8))`