1. Chapter 4
Basic Algebra

2. Day 1, Section 4-1: Graphing in Slope-Intercept Form
Slope-Intercept Form: Any equation written in the form y = mx + b m: b: Which of the following are in slope intercept form? Are any in standard form? a) 4y = 2x + 6 b) y = 3x – 5 c) 2x – 5y = 12

3. Day 1, Section 4-1: Graphing in Slope-Intercept Form
Ex) Identify the slope and the y-intercept of the following equations a) y = ½x – 5 b) y = x + 7 c) 2x – 3y = 12 Ex) Write an equation of a line in slope-intercept form, given the slope and the y-intercept a) Slope: 4, y-intercept: -2 a) m = 6, b = 12

4. Day 1: Section 4-1
Write an equation in slope-intercept form for the graph pictured 1) 2) 3)

5. Day 2, Section 4-1: Graphing in Slope-Intercept Form
Steps to Graphing an equation in slope-intercept form. Ex)
Plot the
________________
2) Count the slope
________ over _________,
And plot a second point
3) Draw a line connecting
The 2 points

6. Day 2, Section 4-1: Graphing in Slope-Intercept Form
Slope Movement
Positive Numbers: UP/RIGHT
Negative Number: DOWN/LEFT
Ex) Graph the following equations using slope-intercept form method
a) b) y = 5x + 8 c) 5x – 3y = 15

7. Day 3: Section 4-1, Horizontal and Vertical Lines
Graphing Horizontal Lines
Graphing Vertical Lines
Equations look like this: y = a number (there is NO x variable!) To Graph: 1) Draw a horizontal line through that number Graph y = -2
Equations look like this: x = a number (there is NO y variable) To Graph: 1) Draw a vertical line through that number Graph x = 6

8. Day 3: Section 4-1, Horizontal and Vertical Lines
Graph the following lines. First determine if the line is horizontal, vertical, or oblique.
y = ) y = -2x ) x = -1

9. Day 1: Section 4-4, Parallel Lines
Parallel Lines – lines that do not intersect and have the SAME SLOPE! Ex) Use the 3 graphs to determine by looking if the lines are parallel

10. Day 1: Section 4-4, Parallel Lines
Which of the following lines are parallel? Note: you must be able to identify the slope in each equation! a) b) c) d) e)

11. Day 2: Section 4-4 Perpendicular Lines
Opposite Reciprocals – 2 numbers whose product is -1. Flip and switch the sign! Perpendicular Lines - Lines that intersect to form a right angle. Perpendicular lines have slopes that are opposite reciprocals. Ex) Find the opposite reciprocals of the following numbers a) 3 b) -5 c) ½ d) -¾

12. Day 2: Section 4-4, Comparing Lines
Determine if the lines are parallel, perpendicular, or neither. 1) 2) 3) 4)

13. Section 4-5, Scatterplots
Scatterplot – a graph showing the relationship between a set of data with 2 variables

14. Section 4-5, Scatterplots
Ex) What kind of correlation does the graph have? Describe its meaning.

15. Section 4-5, Scatterplots

16. Section 4-5: Scatterplots

17. Section 4-5: Scatterplots