Question

A line has a slope of 2 and goes through the point `(1, 9)`. What is the equation for this line in point slope form?

Answer 1

See the entire 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 point given in the equation allows us to write the equation as:

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