Question

How do you write the point slope form of the equation given m=3 and (-4,7)?

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 the values from the point in the problem gives:

`(y - color(red)(7)) = color(blue)(3)(x - color(red)(-4))`

`(y - color(red)(7)) = color(blue)(3)(x + color(red)(4))`