Question

The coordinates below represent two linear equations.
How many solutions does this system of equations have?
Line 1
x y
–2 7
0 6
Line 2
x y
3 0
0 –3
A. 0
B. exactly 1
C. exactly 2
D. infinitely many

Answer 1

You could graph these points and extend a line through the points to see if the lines cross at one point that would give you one answer.

Since the problem states that they are linear, they won't have 2 answers.

If the lines are parallel, no solution.

If they really are the same line, one line will be on top of the other and they have infinite solutions.

Another way is to write the equation of each line by using the two points given. You should find the slope first and then y=mx+b to find the equation.