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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
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