Question

How do you write the equation in point slope form given (-2, 11), m=4/3?

Answer 1

`y+2=3/4(x-11)`

Explanation:

Point slope form is given by the following formula:
`y-y_1=m(x-x_1)`

In order to use the point slope formula we need two things:
1. The slope or `color(green)m` which in this case is `color(green)(4/3)`
2. A point on the graph which we are given `(-2,11)`

Along with the slope, if we let `(color(red)(-2),color(blue)(11))-> (color(red)(x_1),color(blue)(y_1))` we can substitute all this information into the point-slope formula:

`y-color(red)(-2)=color(green)(3/4)(x-color(blue)(11))`

Simplify:

`y+color(red)(2)=color(green)(3/4)(x-color(blue)(11))`