Solving a System from Points

Question

0

636

1

The coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1 Line 2

x | y x | y

-6 | 3 -3 | 1

3 | 6 3 | 3

A. No solution, or 0

B. Exactly 1 solution, or one

C. Exactly 2 solutions, or two

D. Infinitely many solutions

Guest Dec 11, 2015

CPhill · Answer 1 · 2015-12-11T03:33:21

The slope of line 1 = [6 - 3] / [ 3 - -6] = [3] / [9] = 1/3

The slope of line 2 = [ 3 - 1] / [3 - -3] = [2] / [6] = 1/3

Since the slopes are the same.......these lines are parallel......thus.....they never intersect.....so.......we have no solutions.....