Bellringer

WE WILL LEARN

USE TABLES ALWAYS!!!

X YINDEPENDENT

DOMAIN

INPUT

• Most of the equations we deal with from now on are LINEAR equations

• All linear equations (except vertical lines) have a slope.

• When asked to graph… solve the equation for y, and then use the slope, and the y-intercept

• OR…you can plug in a number for x (independent) and get a number for y (dependent) and then you have (x, y) to put on your graph.

Use slope intercept form to set up tables or make a graph

Let’s try some…Graph

Definition of Slope

Definition of SlopeThe slope of the line through the distinct points (x1, y1) and (x2, y2) is

where x2 – x1 = 0.

Change in yChange in x

=Rise

Run=y2 – y1x2 – x1 (x1,

y1)x1

y1

x2

y2

(x2, y2)

Risey2 – y1

Runx2 – x1

x

y

Honors HW2.2 page 67-69

• 9, 10, 34, 36, 46, 48, 61, 80, 81, 82

HW Section 2.2 page 67-682-8 even,

32-36 even,42-46 even

Bellringer

Day Two

Point slope form (how to write your own equations)

Let’s find the slope of the line that connects these two points

• m = -1

• m = 3/6, but better to write m = 1/2

Do one of these

If you are asked to write an equation, use point slope form

When I say, “what two things do you need to write an equation”

You say, “A point and a slope

Write an equation for the line through this pair of points

Write an equation for the line through this pair of points

Write an equation for the line through this pair of points

Write an equation for the line through this pair of points

Positive Slope

x

y

m > 0

Line rises from left to right.

Zero Slope

x

y

m = 0

Line is horizontal.

m is undefined

Undefined Slope

x

y

Line is vertical.

Negative Slope

x

y

m < 0

Line falls from left to right.

Equation of a Vertical Line

A vertical line is given by an equation of the form

x = a EX:

where a is the x-intercept.

Equation of a Horizontal Line

A horizontal line is given by an equation of the form

y = b, EX:

where b is the y-intercept.

• Parallel Lines Have the Same Slope!!!

• Perpendicular Slopes are Opposite (one positive and one negative) and Reciprocals (flips of each other)

Write the equation for the line:

Write the equation for the line:

Write the equation for the line:

Write the equation for the line:

HW Section 2.2p. 68

• 26-31, 51, 53, 66, 68

Honors HW2.2 p. 68

• 28, 30, 66, 68, 85 - 90