Question

How do you write the point slope form of the equation given (-4,1) and slope -6?

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 gives:

`(y - color(blue)(1)) = color(red)(-6)(x - (color(blue)(-4)))`

`(y - color(blue)(1)) = color(red)(-6)(x + color(blue)(4))`