Question

How do you write the point slope form of an equation for a lint that passes through (9,1) with m=2/3?

Answer 1

`(y - color(red)(1)) = color(blue)(2/3)(x - color(red)(9))`

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 point from the problem gives:

`(y - color(red)(1)) = color(blue)(2/3)(x - color(red)(9))`