Question

The graph below represents the linear equation y = 1/2x - 3.

A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3

What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)

Answer 1

(2,-2)

Explanation:

The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.

hope this helps :)

Answer 2

• C) (2, -2)

--------------------------

From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:

• y = - x

The first line is given y = 1/2x - 3, equate both to get:

• - x = 1/2x - 3
• -2x = x - 6
• x + 2x = 6
• 3x = 6
• x = 2

Then the value of y:

• y = - x = - 2

The solution is (2, - 2).