The document provides information about an upcoming test on coordinate planes and linear functions. It includes: - A review of topics to be covered on the test like functions, ordered pairs, slope of a line, and standard form of a line. - Examples of problems about domain and range, graphing lines, finding intercepts, and interpreting graphs. - Instructions to have materials like graph paper and a calculator ready for working through sample problems. - A reminder that attempting all problems is better than leaving them blank on the test.

1. Today:
 Review for Thursday's Test
 This Week's Khan Academy Topics
 New Concept: The Slope of a Line
 CW 3.5 Questions Answered
(Due Tomorrow)
 Progress Reports Thursday
February 16, 2016

2. But first...the final results from the
thrilling world of Cricket...

4. 1st Coordinate Plane Test: Thursday, Feb. 18;
The Test will include the following:
 Functions, Domain, Range
 Ordered Pair Solutions
 Standard Form of a Line/Intercepts
 Slope of a Line
 For today, you need: Grade trackers,
Notebook, graph paper, calculator
Work the problems out. A wrong answer is far better
than no answer..

5. Find Intercepts from a Linear
Equation
2/21/16
Topic
Due
Date
Domain & Range from Graph 2/21/16
Interpreting Graphs of Linear
& Non-Linear Functions
2/21/16

6. W
A
R
M
●
U
P Graph Paper Out
●
●

7. Domain & Range from Graph
-3 9
-3 6
Is the graph a function?
Is the graph a linear
function?

8. Domain & Range from Graph
-6 6 -8 9
Is the graph a function?
Is the graph a linear
function?

9. Domain & Range from Graph
Is the graph a function?
Is the graph a linear
function?
-2 7
0 4

10. 1. The x values in a relation are called the:
2. The range of this relation { (-2,1); (-4,1); (2,5); (-2,3); (4,8); } is:
a) {-2,1,2,-2,4} b) {1,3,5,3,8} c) {1,1,5,3,8} d) {-2,1,2,-4,8} e) none
3. Given y = -2x – 3, the f (-5) is:
4. What are the x and y intercepts for: 2x – 6 = y
5. Which ordered pair is not a solution to: y = 4x - 10
a) -13 b) 0 c) -3 d) 7 e) none
a) (0,4) b) (3,0) c) (3,-6) d) (-3,6) e) none
5 Question Test Review:
a) (1,-6) b) (0,-10) c) (-1,-6) d) (2,-2) e) none
Number your paper 1-5; do not say the answer out loud...
a) domain b) range c) ordered pair d) output e) none

11. Graph the equation with at least 3 points: 3y = 2x - 6
Can you simplify an equation,
say, 4x - 6y = 12 and still get
the same line?
Where/How to Start?
- 2x +3y = -6; 2x - 3y = 6
2x - 3(0) = 6 x = 3
●
2(0) - 3y = 6 y = -2
●
●
Use the slope of the line to
find one more point.
What is the y coordinate when
x is 150? y = 98
...Find the intercepts
+
+
-
-
Graph paper out, try to work the problem completely!

12. y is 4 more than the product of 7 and x; x = 3
Write a function rule that represents each sentence. Then
find the value of y for the given value of x.
You got the answer correct. That's good, but what does it mean?
What do those two numbers represent?
y is 11 less than
𝟏
𝟑
of x; x = 72
Write the following function rule in function notation.
Again, find the value of the function at the given x.
f(x) =
𝟏
𝟑
(72) - 11 f(x) = 13
y = 7(3) + 4; y = 25
Warm-Up
Find any other point on this same line.

13. 2. Find the range values of the function for the given domain.
f(x) = -3x + 2 ; {-5, -2, 6}
Steps
1. Sub in each domain value one @ a time.
2. Solve for y in each equation
3. List y values in braces.
The range values of the function f(x) = -2x + 3,
with a domain of {-5, -2, 6} are..... {17, 8, -16}
Test Review
What are three of the coordinates of this line?
(-5, 17), (-2, 8), (6, -16)

14. Test Review

15. Test Review

16. From the graph below, which equation contains point B?
Test Review

19. x
y
x2 – x1
y2
– y1
change
in y
change in x
The slope of the line passing through the two points (x1, y1) and
(x2, y2) is given by the formula
(x1, y1)
(x2, y2)
x2 – x1
The rise is the difference of the
y-values of two points on a line.
The run is the difference in the
x-values of two points on a line.
The constant rate of change of a straight line is called the slope.
The Slope of a Line:
Slope is usually represented by the
letter m (from the French, monter,
which means “to go up”).
Straight Lines (linear functions) are straight because
the slope never changes!!

20. (3, 2)
(–1, –2)
Then count horizontally to a second point to find the run.
Count vertically from any one point on the line to find the rise.
Finding the Slope of a Line
slope =
𝟒
𝟒
= 1
The slope of the line is 1.
It does not matter which ordered pair you start with.
slope =
−𝟒
−𝟒
= 1
4
4

21. (5, 4)
Then count horizontally to a second
point to find the run.
Count vertically from any one point
on the line to find the rise.
slope =
𝟐
𝟒
=
𝟏
𝟐
The slope of the line is
𝟏
𝟐
slope =
−𝟐
−𝟒
=
𝟏
𝟐
Find the slope of the line:
It does not matter which y you
begin from.
(1, 2)
The Slope of a Line
The slope of a line is the ratio of rise
to run for any two points on the line.
change in y
change in x
Rise
Run
=

22. Find the slope of the line passing through the points (2, 3) & (4, 5).
The x1 and y1 must come from the same ordered pair.
y2 – y1
x2 – x1
m =
5 – 3
4 – 2
= =
2
2
= 1
2
2(2, 3)
(4, 5)
x
y
The Slope of a Line
Name one other
ordered pair on
this line.

23. The Slope of a Line
What is the slope
of this, and all
horizontal lines?
Don't guess, just
plug the numbers
in...
All horizontal
lines have a slope
of zero.

24. The Slope of a Line
What is the slope
of this, and all
vertical lines?
All vertical lines have a
slope that is undefined
because... a denominator
cannot be zero.

25. m = 0
m = 2
m is
undefined
m =
1
2
m = -
1
4
y2 – y1
x2 – x1
m =
The Slope of a Line

26. The Slope of a Line

27. What is the slope of the line?
The Slope of a Line

28. What is the equation of this line?
The point here, is called the....
y-intercept. We know the slope, and
the y-intercept, so...
y =
𝟐
𝟑
x - 2
What is the slope of this line?
The Slope of a Line