Given A(5,2) B(-1,4) C(6,-5). Write the equation of the line which passes through C and is parallel to line AB.

Question

How do I these kind of problems

Answer 1

The line parallel to AB shall have the same slope. Find the slope AB.

 

(4 - 2)/(-1 - 5)

2/ -6

-1/3

 

Put that into the slope intercept form y = mx + b

 

y = -1x/3 + b, plug in the values for C to find b.

-5 = -6/3 + b

-5 = -2 + b

-3 = b

 

Write the equation with b.

 

y = -x/3 - 3