Question

How do you write the equation in point slope form given m=-4 and point (2,7)?

Answer 1

`(y - color(red)(7)) = color(blue)(-4)(x - color(red)(2))`

Explanation:

Given the slope and a point on the line we can use the point-slope formula to write the equation for the line having these attributes.

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 the slope from the problem gives the equation of the line as:

`(y - color(red)(7)) = color(blue)(-4)(x - color(red)(2))`