Lines, Lines, Lines!!! ~ Slope-Intercept Form - PowerPoint PPT Presentation

1 / 18
About This Presentation
Title:

Lines, Lines, Lines!!! ~ Slope-Intercept Form

Description:

Lines, Lines, Lines!!! ~ Slope-Intercept Form The meaning of Variables in a line Introduction A Line is composed of an infinite number of points puts together. – PowerPoint PPT presentation

Number of Views:558
Avg rating:3.0/5.0
Slides: 19
Provided by: Edwin56
Category:

less

Transcript and Presenter's Notes

Title: Lines, Lines, Lines!!! ~ Slope-Intercept Form


1
Lines, Lines, Lines!!!Slope-Intercept Form
  • The meaning of Variables in a line

2
Introduction
  • A Line is composed of an infinite number of
    points puts together.
  • All points fit the pattern of a single formula.
  • There are several ways we could write the
    formula
  • Standard Form
  • Point-Slope Form
  • Slope-intercept Form

3
Slope intercept form is
y mx b
Our goal is to define each line where the y is
alone on one side of the equation.
4
These equations are all in Slope-Intercept
Form
Notice that these equations are all solved for y.
5
When an equation is in slope-intercept form
y mx b
2
What is the slope? ____________
1
What is the intercept? ____________
6
Now Try this Convert to Slope-Intercept Form
2y 26 -6x
Step 1 Subtract both sides by 26
Step 2 Divide both sides by 2 to get y by itself
Step 3 Simplify all fractions
- 3
What is the slope? ____________
-13
What is the intercept? ____________
7
When an equation is in slope-intercept form
y mx b
b y-intercept. This constant helps us
identified where to begin our graph. We start our
graph on this number of the y-axis. The
y-intercept tells us that the line crosses the
y-axis at this point. m slope. This constant
is always the coefficient of the x variable.
It helps us find all of the remaining points of
the line
8
On the next three slides we will graph the three
equations
using their y-intercepts and slopes.
9
1. Plot the y-intercept as a point on the
y-axis. The constant b 1, so the y-intercept
1.
2. Plot more points by counting the slope up the
numerator and to the right denominator. The
coefficient m 2, so the slope 2/1.
10
1. Plot the y-intercept as a point on the
y-axis. The constant b -4, so the y-intercept
-4.
2. Plot more points by counting the slope up the
numerator and right the denominator. The
coefficient m -1, so the slope -1/1.
11
1. Plot the y-intercept as a point on the
y-axis. The constant b -7, so the y-intercept
-7.
2. Plot more points by counting the slope up the
numerator and to the right denominator. The
coefficient m 5/3, so the slope 5/3.
12
  • Graph the following equations

They look different but they are not
different. Before we can graph them, it is always
best to set them us in the Slope-intercept
Form y mx b
13
The constant b 8 is the y-intercept.
The coefficient m 3/2 is the slope.
14
Or
The constant b 1 is the y-intercept.
The coefficient m 9/7 is the slope.
15
The constant b -3 is the y-intercept.
The coefficient m -6/5 is the slope.
16
The new modified equations are
Now you will have a much easier time graphing
these equations Now your turn to graph
17
Student Activity
  • You will now receive a worksheet. Turn the
    worksheet in when completed.

18
Do Not Disturb Work In Progress
Write a Comment
User Comments (0)
About PowerShow.com