SOLUTION: Which of the following is an equation of the line that passes through the points (-2,1) and (1,2) in the x-y plane? x+3y=1 x+3y=5 x-3y=-5 x+3y=-5 x-3y=-1 please help me I

Algebra ->  Linear-equations -> SOLUTION: Which of the following is an equation of the line that passes through the points (-2,1) and (1,2) in the x-y plane? x+3y=1 x+3y=5 x-3y=-5 x+3y=-5 x-3y=-1 please help me I      Log On


   



Question 1039582: Which of the following is an equation of the line that passes through the points (-2,1) and (1,2) in the x-y plane?
x+3y=1
x+3y=5
x-3y=-5
x+3y=-5
x-3y=-1
please help me I dont know how to solve this type of problem.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First, use the Two-Point Form of an equation of a line:



where and are the coordinates of the given points.

Then rearrange the results into Standard Form:



using the standard algebraic manipulations of adding equal values to both sides of the equation and multiply both sides of the equation by equal values. Some authors require A, B, and C to be integers with for proper Standard Form, and this is the case here.

John

My calculator said it, I believe it, that settles it