SABER College Week 6 Rectangular Coordinate System Algebra Problems

1. Plot the point ( − 5, − 1) in the rectangular coordinate system.10
Plot ( − 5, − 1).
y
8
6
4
2
-10 -8 -6 -4 -2
-2
x
2
4
6
8 10
-4
-6
-8
-10
2. Plot the point (0, − 1) in a rectangular coordinate system.
10
Plot (0, − 1).
y
8
6
4
2
x
-10
-8
-6
-4
-2
2
4
6
8
10
2
4
6
8
10 x
-2
-4
-6
-8
-10
3. Evaluate​f(x) for the given values for x. Then use the
ordered pairs​(x,f(x)) from the table to graph the function.
10 y
8
2
f(x) = x + 3
6
For each value of​x, evaluate​f(x).
x
4
2
f(x) = x + 3
2
−2
−1
-10
-8
-6
-4
-2
0
-2
1
-4
2
-6
Use the graphing tool to graph the function.
-8
-10
4. Evaluate​f(x) for the given values for x. Then use the
ordered pairs​(x,f(x)) from the table to graph the function.
10
8
f(x) = x − 1
6
For each value of​x, evaluate​f(x).
x
y
4
f(x) = x − 1
2
−2
x
−1
-10
0
-8
-6
-4
-2
2
4
6
8
10
-2
1
-4
2
-6
Use the graphing tool to graph the function.
-8
-10
5. Use the vertical line test to determine whether the given
graph is the graph of a function.
6
y
3
x
-6
-3
3
6
-3
-6
Is the graph the graph of a​function?
Yes
No
6. Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether
the line through the points​rises, falls, is​horizontal, or is vertical.
(3,7) and (4,9)
Select the correct choice below​and, if​necessary, fill in the answer box within your choice.
A. The slope is
.
B. The slope is undefined.
Indicate whether the line through the points​rises, falls, is​horizontal, or is vertical. Choose the correct answer below.
A. The line is horizontal.
B. The line rises from left to right.
C. The line is vertical.
D. The line falls from left to right.
7. Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the
line through the points​rises, falls, is​horizontal, or is vertical.
( − 5,6) and ( − 3, − 2)
Select the correct choice below and fill in the answer box within your choice.
A. The slope is
. ​(Simplify your​answer.)
B. The slope is undefined.
Indicate whether the line through the points​rises, falls, is​horizontal, or is vertical.
The line is horizontal.
The line rises from left to right.
The line falls from left to right.
The line is vertical.
8. Graph the linear function using the slope and the​y-intercept.
12
y = 2x + 4
y
10
Use the graphing tool to graph the linear equation. Use the
slope and​y-intercept when drawing the line.
8
6
4
2
x
-12 -10 -8
-6
-4
-2
-2
-4
-6
-8
-10
-12
2
4
6
8
10 12
9. Graph the linear function using the slope and​y-intercept.
y=
10
4
x−5
3
y
8
6
Use the graphing tool to graph the linear equation. Use the
slope and the​y-intercept when drawing the line.
4
2
x
-10
-8
-6
-4
-2
2
4
-2
-4
-6
-8
-10
10. What is the slope of the​line?
Choose the correct answer below.
A. The slope of a line compares the vertical change​(the rise) to the horizontal change (the run)
rise
when moving from one fixed point to another along the line. It is defined as
.
run
B. The slope of a line compares the horizontal change​(the run) to the vertical change​(the rise)
run
when moving from one fixed point to another along the line. It is defined as
.
rise
C. The slope of a line is the point where the graph intersects the​y-axis.
D. The slope of a line is the point where the graph intersects the​x-axis.
6
8
10