Chapter 4 Basic Algebra

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

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

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

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

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

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

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

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

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)

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

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

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

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

Section 4-5, Scatterplots

Section 4-5: Scatterplots

Section 4-5: Scatterplots