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 + bm: b:

Which of the following are in slope intercept form? Are any in standard form?a) 4y = 2x + 6 b) y = 3x – 5c) 2x – 5y = 12

Day 1, Section 4-1: Graphing in Slope-Intercept Form

Ex) Identify the slope and the y-intercept of the following equationsa) 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-intercepta) 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 pictured1) 2)

3)

Day 2, Section 4-1: Graphing in Slope-Intercept Form

Steps to Graphing an equation in slope-intercept form. Ex) 1) Plot the ________________2) Count the slope________ over _________, And plot a second point3) Draw a line connecting The 2 points

Day 2, Section 4-1: Graphing in Slope-Intercept Form

Slope MovementPositive Numbers: UP/RIGHT

Negative Number: DOWN/LEFT

Ex) Graph the following equations using slope-intercept form methoda) b) y = 5x + 8

c) 5x – 3y = 15

Day 3: Section 4-1, Horizontal and Vertical Lines

Graphing Horizontal LinesEquations look like this: y = a number (there is NO x variable!)To Graph:1) Draw a horizontal line through that numberGraph y = -2

Graphing Vertical LinesEquations look like this:

x = a number(there is NO y variable)To Graph:1) Draw a vertical line through that numberGraph 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.1) 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 numbersa) 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