Question

How do you write the equation in point slope form given slope = 1/8, passes through (5,9)?

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 values from the problem for the slope and the values of the point gives:

`(y - color(blue)(9)) = color(red)(1/8)(x - color(blue)(5))`