OBJECTIVES: TO WRITE LINEAR EQUATIONS USING SLOPE- INTERCEPT FORM TO GRAPH LINEAR EQUATIONS IN...

OBJECT IVES :T O W R I T E L I N E A R E Q U AT I O N S U S I N G S LO P E -

I N T E RC E P T F O R MT O G RA P H L I N E A R E Q U AT I O N S I N S LO P E -

I N T E RC E P T F O R M

CHAPTER 6

SLOPE-INTERCEPT FORM

WARM UP

Find the slope

1.) (2, -3), (5, 6)

Find the missing value

2.) (8, r), (3, -10) m = 3

LINEAR EQUATION:An equation that models a linear function.

In a linear equation, the variables cannot be raised to a power other than 1.

The graph of a linear equation contains all of the ordered pairs that are solutions of the equations.

Y-INTERCEPT:The y-coordinate of a point where the graph crosses the y-axis

Graphs of linear functions may cross the y-axis at any point

The Slope-Intercept Form of a linear equation of a nonvertical line is

PROBLEM # 1: IDENTIFYING SLOPE AND Y-INTERCEPT

A) What are the slope and y-intercept of the graph

of y = 5x – 2?

PROBLEM # 1: IDENTIFYING SLOPE AND Y-INTERCEPT

B) What are the slope and y-intercept of the graph of ?

PROBLEM #1GOT IT?

What are the slope and y-intercept of the graph of y = 3x – 6?

PROBLEM # 2: WRITING AN EQUATION IN SLOPE-INTERCEPT FORM

A) What is an equation of the line with slope and y-intercept 7?

PROBLEM # 2: WRITING AN EQUATION IN SLOPE-INTERCEPT FORM

B) What is an equation of the line with slope and y-intercept -1?

PROBLEM #2GOT IT?

What is an equation of the line with slope 5 and y-intercept 8?

PROBLEM # 3: WRITING AN EQUATION FROM A GRAPH

A) What equation represents the line shown?

PROBLEM # 3: WRITING AN EQUATION FROM A GRAPH

B) What do you expect the slope of the line to be from looking at the graph?

C) What is an equation of the line shown to the right?

D) Does the equation of theline depend on the points you use to find the slope?

PROBLEM # 3GOT IT?

Which equation represents the line shown?

PROBLEM # 4: WRITING AN EQUATION FROM TWO POINTS

A) What equation in slope-intercept form represents the line that passes through the points (2, 1) and (5, -8)?

PROBLEM # 4: WRITING AN EQUATION FROM TWO POINTS

B) What equation in slope-intercept form represents the line that passes through the points (3, -2) and (1, -3)?

PROBLEM # 4GOT IT?

What equation in slope-intercept form represents the line that passes through the points (1, -6) and (-3, 10)?

PROBLEM # 5: GRAPHING A LINEAR EQUATIONA) What is the graph of y = 2x – 1?

PROBLEM # 5: GRAPHING A LINEAR EQUATIONB) What is the graph of y = -3x + 4?

PROBLEM # 5GOT IT?

1) What is the graph of y = 4x – 8?

2) What is the graph of ?

HOMEWORK

•Graphing Linear Equations Worksheet