Question

What is the equation in point-slope form of the line given (5,-1); m=-2/3?

Answer 1

See a solution process below:

Explanation:

The point-slope form of a linear equation is: `(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` is a point on the line and `color(red)(m)` is the slope.

Substituting the information from the problem gives:

`(y - color(blue)(-1)) = color(red)(-2/3)(x - color(blue)(5))`

`(y + color(blue)(1)) = color(red)(-2/3)(x - color(blue)(5))`