Which equation in point slope form contains the points (6,2) and (2,4)

Question

A) y-2=-2(x-6)

B) y-4= -2(x-2)

C) y-2=1/2(x-6)

D) y-4= -1/2(x-6)

Answer 1

First off, I am going to assume that answer C is supposed to have a slope of -1/2.

The best way to go about this is trying to write a point slope equation with the given points.

The first step in getting a point slope equation, i.e. of the form (y-y1)=m(x-x1), is to find the slope.

 

m=(y2-y1)/(x2-x1)

m=(4-2)/(2-6)

m=2/-4=-1/2

 

Next, you plug in either of the points into the formula as (x1,y1).

The answer could have been either

y-2=-1/2(x-6)

or y-4=-1/2(x-2)

Answer C (if it is indeed supposed to have the missing negative) is correct.