Question

How do you write the equation in point slope form given m=6 and point (4,-5)?

Answer 1

`(y + 5) = 6(x - 4)`

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 point and slope given in the problem results in the equation:

`(y - color(red)(-5)) = color(blue)(6)(x - color(red)(4))`

`(y + color(red)(5)) = color(blue)(6)(x - color(red)(4))`