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Here are some tips for Determining Slope, which aligns with Hawaii state standards:
Determining Slope
For this topic, you will need to know how to identify points on a graph.
To review the Ordered Pairs topic, see here.
The slope of a line (m) tells you how steep is the line. You can figure out the slope of a line when you know the coordinates of two points on the line.
m = y2 - y1
x2 - x1where (x1, y1) and (x2, y2) are two points on the line
A simple way to remember the formula is "rise over run" where rise is the change in y (or change in up and down) and run is the change in x (or change in left and right).
There are four types of slopes: positive, negative, zero, and undefined.
Positive slope:
Lines with positive slopes go up from left to right. (5,5) and (0,1) are two points on the line.
m = y2 - y1
x2 - x1= 5 - 1
5 - 0= 4
5
Negative slope:
Lines with negative slopes go down from left to right. (0,0) and (4,-3) are two points on the line.
m = y2 - y1
x2 - x1= - 3 - 0
4 - 0= - 3
4
Zero slope:
Lines with zero slopes are horizontal lines going left and right. (-6,5) and (2,5) are two points on the line.
m = y2 - y1
x2 - x1= 5 - 5
- 6 - 2= 0
- 8= 0
Undefined slope:
Lines with undefined slopes are vertical lines going up and down. (4,6) and (4,2) are two points on the line.
m = y2 - y1
x2 - x1= 6 - 2
4 - 4= 4
0= undefined
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