FUNDAMENTALS OF ALGEBRA 1A CHAPTER 10 POWERPOINT PRESENTATION

GRAPHING

LEARNING TARGETS

• AFTER YOU FINISH THIS CHAPTER, YOU WILL BE ABLE TO:

• GRAPH SOLUTIONS TO EQUALITIES AND INEQUALITIES

• IDENTIFY AND GRAPH ORDERED PAIRS• DETERMINE POINTS AND GRAPH LINEAR EQUATIONS• IDENTIFY SLOPE• DETERMINE SLOPE USING A FORMULA – AND

IDENTIFY THE X AND Y INTERCEPT OF A LINE.

VOCABULARY

• EQUALITY – THE STATE OF BEING EQUAL• GRAPHING – SHOWING THE RELATIONSHIP

OF A SET OF NUMBERS WITH A LINE• SOLUTION – THE VALUE OF A VARIABLE THAT

MAKES AN OPEN STATEMENT TRUE• INEQUALITY – TWO QUANTITIES THAT ARE

NOT EQUAL SHOWN BY LESS THAN AND MORE THAN SYMBOLS.

GRAPHING ON A NUMBER LINE

Graphing Equalities

• When the number on the number line is stated as x = 3, you place a dot on the three on the number line.

• When the number on the number line is less than 3, you place a dot on three but draw the line to the left end of the graph (it means x = 3 and anything else less than 3).

• When the number on the number line is more than 3, you place a dot on three but draw the line to the end of the right side graph (it means x = 3 and anything else that is more than 3).

Examples

Inequality Symbols

The Coordinate System - Vocabulary

• Vertical – runs up and down – the y- axis• Horizontal – runs side to side – the x- axis• Coordinate System – a way of using number lines

to locate points on a plane or in space• x-axis – the horizontal axis• y-axis – the vertical axis• Quadrant – the four sections of a graph• Origin – where the x and y axis cross (0,0)• Ordered Pair – one x point and one y point ( 3,2)

WHAT IT LOOKS LIKE

LOCATING POINTS

DETERMINING POINTS

• First, you must fill out an x/y table. Then locate three points. Draw the line to connect the points, if it is straight. That is a linear equation.

Slope

• Slope is the measure of the steepness or slant of a line. There are four kinds of slope:

• Positive• Negative• Slope of Zero• Undefined Slope

POSITIVE SLOPE

NEGATIVE SLOPE

SLOPE OF ZERO

UNDEFINED SLOPE

FORMULA FOR SLOPE

SLOPE-INTERCEPT

• THE SLOPE – INTERCEPT FORM OF A LINE IN WHICH: m = the slope and b = the y-intercept.

• Looks like this: y = mx + b.

X and Y Intercept

• Where the line of a graph crosses the x and y axis.

Rules for slope intercept

• The y side of the equation can never be negative or have another number with it. It must stand alone.

• If the equation is not in slope-intercept form, you must move the parts of the equation around until it is. When you change sides with a part of the problem, it changes signs.