Question

What is the equation of the line with slope `m= 8/3` that passes through `(17/15,-11/24)`?

Answer 1

See a 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 in the problem gives:

`(y - color(red)(-11/24)) = color(blue)(8/3)(x - color(red)(17/15))`

`(y + color(red)(11/24)) = color(blue)(8/3)(x - color(red)(17/15))`