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Module 4 Practice
Graphing for solutions
1. The tables below show solutions for two linear equations. If the two equations make up a
system of linear equations, in which quadrant is the solution? Give the coordinates of the
solution.
x
-1
-4
-7
y
-9
-3
3
Quadrant 3 (-3,-5)
x
-3
-2
-1
y
-3
4
11
2. The tables below show values for two linear equations in a system. Graph the two lines.
Line 1
x
4
-2
y
6
4
Line 2
x
-3
-2
y
8
-3
a. Are these lines parallel, intersecting or coincidental?
b. Describe the slope of each line. Red is positive and blue is negative
c. How many solutions for this system? One solution
d. Give the coordinates for this solution. About (-2.5, 4)
3. A system of equations is graphed below.
a. What is the solution? (-8,0)
b. What is the x-intercept of the red line? (-8,0)
c. What is the y-intercept of the red line? (0,-4)
4. Below is a system of equations. Make a table for each equation to find 3 points and graph the
lines. In which quadrant is the solution found?
7x – 3y = 21 and -4x + y = 2
x
y
x
y
Answer: Quadrant III
5. Below is a system of equations. Find the x and y intercepts for each equation and graph the
lines. In which quadrant is the solution found?
2x – 5y = 10 and x + 2y = 10
Answer: Quadrant I
2x – 5y = 10: x = 5 y = -2
x + 2y = 10: x = 10 y = 5