Download LINEAR EQUATIONS FOLDABLE

LINEAR EQUATIONS
FOLDABLE
To make your foldable:
1. Stack four or five sheets of colored paper
together, placing each consecutive sheet
around ¾ of an inch higher than the sheet
in front of it.
2. Fold your stack of papers making your
edges of all the layers the dame distance
apart (3/4 in). Align the sides.
3. Once you have all the tabs equal
distance, and the sides are aligned, fold
the stack and crease the fold well.
4. Staple, or glue, the pages together at the
crease to create your booklet.
HINT 1: Don’t use
too much glue.
This will cause your
pages to stick
together.
HINT 2: Staple the
crease if possible.
Title Page
Put a title on the top tab.
A possible title could be:
Linear Equations: Reference Guide
By
(Your Name)
**Don’t write YOUR NAME
Tabs
The following are a list of the names for each of the tabs.
Write these on the tabs so that you can find the
information you need quickly.
1. Definitions
2. Slope
3. Point-slope form
4. Slope-intercept form
5. Solving for x and y
intercepts
6. Finding slope: Table
7. Graph a Line: Two points
8. Writing the equation of a line
Definitions
Linear Equation – Any equation whose graph is a
line
Coordinate Pair – A location given in (x,y) format
Function – Every x value has one y value
y-intercept – Point where x = 0
- The point where the line crosses the y axis
Rate of Change – The change between two points.
Slope
A ratio (fraction) that describes the tilt of a line.
rise y y2  y1
m


run x x2  x1
Example:
Two points (0,6) and (1,4)
Point-slope form
y  y1  m( x  x1 )
x & y are coordinates on the line
y1 & x1 are coordinates of the given point.
m is the slope
Example:
Given two points (0, 6) and (1,4)
Slope = (4-6) /(1-0)= -2
So, slope intercept form is y-6=-2(x-0)
Slope-intercept form
y  mx  b
x & y are coordinates on the line
m is the slope of the line
b is the y-intercept
Example:
m=-2
y-intercept = 6
S0 slope-intercept form is y=2x+6
Solving for x and y intercepts
2x +y=6
x-intercept- make y=0
2x+0=6 divide both sides by 2
x=3 so x intercept is (3,0)
y-intercept
2(0) +y=6
y=6 so y-intercept is (0,6)
Slope=rate of change
+1
+2
+1
x
0
1
3
4
y
6
4
0
-2
-2
-4
-2
1. Find the change in consecutive pairs.
2. Write the changes as a slope.
3. If the changes are the same, this is the slope and this is the rate of change
Slope = -2/1 or -2
Writing the Equation of a Line
1. Find the slope for the line.
2. Find the y-intercept
3. Write the equation in slope-intercept
form.
Graph the line