Write an equation of the line that passes through the given points?

Question

School just started, and I need a refresher..

If you could explain this problem step by step, that would be great. <3

Write an equation of the line that passes through the given points.

( 4, - 8 ) , ( 0, - 2 )

Answer 1

y =  -2x-2

first graph your points.

notice u travel down 8 and 4 to the right.

rise over run = -8/4 or -2

and ur x intercept is -2, as given by ur point (0,-2)

so standard form =

y= mx+b

m is slope, b is y intercept.. so just plug em in

Answer 2

First find the slope of the line -- the ratio between the difference of the y-values divided by the difference between corresponding x-values. In this case, the slope it (-8--2)/(4-0)=(-8+2)/4=-3/2. Now use the point-slope form to get:

(y--2)=(-3/2)(x-0)=

y+2=(-3/2)x

Now just put the equation into whatever form you need to (e.g., solve for y, etc.).

I hope that my arithmetic is correct, I&#039;m kind of tired :)