Question

How do you write the equation in point slope form given (-7,2) and m=3?

Answer 1

`(y - color(red)(2)) = color(blue)(3)(x + color(red)(7))`

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 values from the problem gives:

`(y - color(red)(2)) = color(blue)(3)(x - color(red)(-7))`

`(y - color(red)(2)) = color(blue)(3)(x + color(red)(7))`

Answer 2

Slope-point form: `y-2=3(x+7)`

Explanation:

The general slope-point form for a line through the point `(color(blue)a,color(red)b)` with a slope of `color(green)m` is
`color(white)("XXX")y-color(red)b=color(green)m(x-color(blue)a)`