1. Linear Equations YU

2. LINEAR EQUATIONS FOLDABLE

3. 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.

4. 2. Fold your stack of papers making your edges of all the layers the same distance apart (3/4 in). Align the sides.

5. 3. Once you have all the tabs equal distance, and the sides are aligned, fold the stack and crease the fold well.

6. HINT 1: Don’t use too much glue.
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.

7. Title Page
Put a title on the top tab. ( Linear Equations) By (Your Name)

8. 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 Finding slope: Table
2. Slope Graph a Line: Two points &
3. Point-slope form Writing the equation of a line
4. Slope-intercept form
Solving for x and y
intercepts

9. 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.

10. Slope A ratio (fraction) that describes the tilt of a line. Example:
Two points (0,6) and (1,4)

11. Point-slope form 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)

12. Slope-intercept form 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

13. 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)

14. Slope=rate of change x y 6 1 4 3 -2 -2 +1 -4 +2 +1 -26 1 4 3 -2 -2 +1 +2 -4 +1 -2
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

15. 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.

16. Graph the line Step 1: Put the equation in Slope Intercept Form.
Step 2: Graph the y-intercept point (the number in the b position) on the y-axis. ...
Step 3: From the point plotted on the y-axis, use the slope to find your second point. ...
Step 4: Draw your line using the two points you plotted (y-intercept (b) first, slope (m) second.

17. Solving for the x and Y Intercepts
rYz4YJPoG8hLx2SUpPBMTO0.pdf

18. Reference
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