Question

How do you write the line through (6, -4) with slope 2/3 in point-slope form?

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)((-4))) = color(red)(2/3)(x - color(blue)(6))`

`(y + color(blue)(4)) = color(red)(2/3)(x - color(blue)(6))`