Question

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

Answer 1

See the 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 points in the problem gives:

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

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