30. Find the
graph that best matches the linear equation:
A. 
B. 
C. 
D. 
Question 30 on the MAT0020/24C Beginning Algebra State Exam
Match Linear Equation to Graph
30. Find the
graph that best matches the linear equation:
A.
B.
C.
D.
One method is to create a table of values. Choose a value for x or y, then solve for the other variable. Three points are sufficient for a linear equation.
|
x |
y |
|
0 |
? |
|
2 |
? |
|
4 |
? |
|
x |
y |
(x, y) |
|
0 |
-4 |
(0, -4) |
|
2 |
-3 |
(2, -3) |
|
4 |
-2 |
(4, -2) |
Label the points and draw a line through the points.
Another method is to use the slope intercept form (y = mx + b) to graph the equation.
The first step is to make sure that the linear equation is written as y =.
The next step is to determine the slope and y-intercept of the linear equation.
In the form: y = mx + b, the m is the slope and the b is the y intercept.
Slope (m) = 
and y intercept (b) = -4
To graph, first place a point on the y intercept at -4. The y intercept is the point where the graph crosses the y axis. In this case the y intercept is -4.
The next step is to use the slope to find the next point. The slope can be
expressed as 
. The numerator determines if you move up (positive value) or
down (negative value). The denominator determines if you move left (negative
value) or right (positive value).
In this case, Slope (m) =
mean move up 1 unit and to the right 2 units.
Then draw a straight line connecting the points.
This is the solution.
Practice Problems for Question 30
Match Linear Equation to Graph
Solutions Below
1. Find the graph that best matches the given linear
equation: 
a. 
b. 
c. 
d. 
2. Find the graph that best matches the given linear
equation: 
a. 
b. 
c. 
d. 
3. Find the graph that best matches the given linear
equation: 
a. 
b. 
c. 
d. 
4. Find the graph that best matches the given linear
equation: 
a. 
b. 
c. 
d. 
Solutions:
1. b 2. a 3. d 4. c