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ALGEBRA Unit Plan – Graphing and Writing Linear Functions Plan
Vocabulary
Linear Parent Function
EXAMPLE:
Direct Variation
EXAMPLE:
Undefined Slope
EXAMPLE:
Vertical Line
EXAMPLE:
Zero Slope
EXAMPLE:
x-intercepts
EXAMPLE:
y-intercepts
EXAMPLE:
Standard Form
EXAMPLE:
Slope Intercept Form
EXAMPLE:
Point Slope Form
EXAMPLE:
OBJECTIVES
A.2 Linear functions, equations, and inequalities. The student applies the mathematical process
standards when using properties of linear functions to write and represent in multiple ways, with
and without technology, linear equations, inequalities, and systems of equations. The student is
expected to:
(B) write linear equations in two variables in various forms, including y = mx + b, Ax +
By = C, and y - y1 = m(x - x1), given one point and the slope and given two points;
(C) write linear equations in two variables given a table of values, a graph, and a verbal
description
(D) write and solve equations involving direct variation;
Essential Questions:
Compare and Contrast direct variation and proportional relationships.
Compare and contrast undefined slope and a zero slope.
PRE-ASSESSMENT
PRE-ASSESSMENT
Pre-requisite skills:
The previous Unit over Properties of Linear Functions should be passed with at least an 80% to be
successful on this unit.
SCORE:_______/100
Videos
Writing in slope intercept form
Finding x and y intercepts
Test Review - Linear Functions
1. What is the equation of the linear parent function?
2. Circle each of the following equations that represent direct variation.
-2x = y
3x+2y = 6
y=
- 3
x
y = x y = 5x2 y =
x
4
3. Given the equation of the line 4x - 8y = 24, which of the following statements is true?
a) The graph forms a vertical line.
b) The graph has a negative slope.
c) The graph has a y-intercept of 24.
d) The graph has an x-intercept 6.
4. x-intercept ( , )
5. Use the graph below to determine the x- and y- intercepts
y-intercept ( , )
y
of the linear function represented by the table.
7
6
5
4
3
2
1
6 5 4 3 2 1
1
2
3
4
5
6
y
x
1 2 3 4 5 6 7
x
y
-1
-6
7
6
5
4
3
2
1
6 5 4 3 2 1
1
-2
3
2
4
4
1
2
3
4
5
6
1 2 3 4 5 6 7
6. Find the x- and y- intercepts of 6x - 5y = 15
7. Find the x- and y- intercepts of 4x - y = 15
Graph the following Linear Equations.
8. y = 3 – 2x
y
9. y = x
7
6
5
4
3
2
1
6 5 4 3 2 1
1
2
3
4
5
6
1 2 3 4 5 6 7
x
10. x = 4
y
7
6
5
4
3
2
1
6 5 4 3 2 1
1
2
3
4
5
6
1 2 3 4 5 6 7
x
y
7
6
5
4
3
2
1
6 5 4 3 2 1
1
2
3
4
5
6
1 2 3 4 5 6 7
x
x
11. y = 4
12. 3x – 2y = 4
6 5 4 3 2 1
13. 2x + 4y = -8
y
y
y
7
6
5
4
3
2
1
7
6
5
4
3
2
1
7
6
5
4
3
2
1
x
1 2 3 4 5 6 7
1
2
3
4
5
6
6 5 4 3 2 1
1
2
3
4
5
6
Write the equation of the line in slope intercept form.
y
x
1 2 3 4 5 6 7
6 5 4 3 2 1
1
2
3
4
5
6
y
y
7
7
7
6
6
6
5
5
5
4
4
4
3
3
3
2
2
2
1
1
6 5 4 3 2 1
1
2
3
4
5
6
7
x
6 5 4 3 2 1
1
2
3
4
5
6
7
x
1
6 5 4 3 2 1
1
1
1
1
2
2
2
3
3
3
4
4
4
5
5
5
6
6
6
14. Equation: ____________
15. Equation: ____________
17. Write the equation of the line for the given table in slope-intercept form.
x
y
2
3
4
0
6
-3
8
-6
Equation: ____________
x
1 2 3 4 5 6 7
2
3
4
5
6
7
16. Equation:____________
x
Write the equation of the line in slope intercept form given the slope and y-intercept.
18. slope is -2 and y-intercept is -3
Equation:___________________
19. slope is zero and y-intercept is 5
Equation:___________________
20. slope is -1/2 and y-intercept is 0
Equation:___________________
Write the equation of the line in slope intercept form given the slope and a point.
21. Slope = 
3
through point (0, -3)
5
22. Slope = 6 through point (-2, 3)
Equation: ___________________
Equation: ___________________
23. Slope = zero through point (2, 4)
24. Slope = undefined through point (-1, -5)
Equation: ___________________
Equation: ___________________
Write the equation of the line passing through the two given points.
25. (2, -5) and (-1, 1)
26. (-1, 7) and (2, -2)
Equation: _______________
Equation: _______________
27. (1, -2) and (-4, -2)
Equation: _______________
Write an equation in slope-intercept form for the line representing the following situation.
28. AHS needs to sell the rest of the H2JoJo t-shirts by Christmas. They have already sold 512
t-shirts want to sell 40 more each week.
Equation: ___________________
29. Samantha has 65 cookies to share with her classmates. She plans on giving 2 cookies to each friend.
Equation: ___________________