1. Making Graphs Y
y=mx+b X

2. Example of a Line Graph Y 77 • (11,77) A Dog’s Human’s Equivalent Age35 •
(5,35) 21 •
(3,21) X
(0,0)
A Dog’s Actual Age

3. A Point (X,Y) (4,3) • (X,Y) is called an Ordered Pair Y X
The X value or X Coordinate is the location of a point in the X direction
The Y value or Y Coordinate is the location of a point in the Y direction

4. How to Graph a Point Y (X,Y) (4,2) • 321 X -4-3-2-1 0 1 2 3 4
X is the distance along the x=axis
Y is the distance along the y=axis Y
3210
HINT: Think of the x-axis as the Number Line X -1 -2
HINT: Think of the y-axis a vertical Number Line

5. To make a Graph: x y 0 0 5 10 You must have at least 3 data points.
Now graph the 3 Points.
x y
0 0 5 10 •
(2,10) •
(1,5) •

6. What is the Intercept in Science?Y X
An Intercept is where a line crosses the x or y axis

7. X & Y Intercepts Y
y-axis
The Y intercept is the y coordinate (where a line crosses the y axis). •
(0,2) •
(3,0) X
x-axis
The X intercept is the x coordinate (where a line crosses the x axis).

8. SLOPE =
NEGATIVE-DOWN
POSITIVE-UP
Slope is a measure of STEEPNESS

9. Think of m for Mountain The Symbol for SLOPE = m NEG. Slope is -m
POS. Slope is +m
Think of m for Mountain

10. SLOPE = How much does this line rise? How much does it run? (6,4) 4 •3
(3,2) 2 • 1
(0,0) 1 2 3 4 5 6
How much does this line rise?
How much does it run?

11. SLOPE = 2 3 2 3 How much does this line rise? How much does it run?
(6,4) 4 • 3
(3,2) 2 • 1
(0,0) 1 2 3 4 5 6
How much does this line rise?
How much does it run? 2 3

12. m=SLOPE =
x2y2
(6,4) 4 •
x1y1 3
(3,2) 2 • 1
(0,0) 1 2 3 4 5 6

13. Keeping Track of Signs When Finding The Slope Between 2 Points
• Be Neat & Careful
• Use (PARENTHASES)
• Double Check Your Work as you Go
• Follow 3 Steps

14. 3 Steps for finding the Slope of a line between 2 Points (3,4)&(-2,6)
1st Step: Write x1,y1,x2,y2 over numbers
2nd Step: Write Formula and Substitute x1,x2,y1,y2 values.
3rd Step: Calculate & Simplify
x1 y1
x2 y2
(3,4) & (-2,6)

15. Negative Slope
Is Down the Hill
Positive Slope
Is Up the Hill
NO Slope
Vertical Drop
ZERO Slope Horizontal