How do you write a linear equation given a point and the slope?

Answer 1

Hey there--I'll give you an example:

Say you have a slope of 2, and the point (3,4).

Knowing that the format of the equation is y=mx+b (m is the slope), and that at one point, x MUST be 3 and y MUST be 4, plug in your variables to find b:

4=2(3)+b

^ ^ ^ ^

y m,x

So b= -2

The equation of the line is:

y=2x-2

If you want to double check, plug in that first point (3,4)

4=2(3)-2

4=4

Yay! :) Hope this helped!