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Common Core Standard: 8.EE.5 8th Grade Math
When a line has a positive slope the line slopes upward when moving from left to right. As y increases so does x. When a line has a positive slope the two variables move in the same direction.
The variables involved could be any of the following:
x and y
Independent variable and dependent variable
Cause and effect
Input and output
When a line has a negative slope the line slopes downward when moving from left to right.
Notice that as y decreases, x increases. When a line has a negative slope the two variables move in opposite directions. The variables involved could be any of the following:
x and y
Independent variable and dependent variable
Cause and effect
Input and output
Positive and Negative Slope
Transcript
Positive and Negative Slope
Welcome to MooMooMath. Today we are going to look at slope. You will have lines with positive slope and negative slope, some with zero and some with no slope. Today we are going to look at slope that is positive and negative. So let’s look at this first one. If we want to draw a line with positive slope we are going to draw a line rising from the left to the right. So just as if you are reading from left to right and it is rising up it will be positive slope. In the opposite direction if you read from left to right and it is going down then it will be a negative slope. I like to think of it as riding a roller coaster. So I draw a smiley face and if this is me and I’m going uphill and I’m happy because it is not very stressful but if I’m going down the hill it is stressful and it is a negative slope. So a quick overview. From left to right going up is a positive slope and if it is going down from left to right it is negative. Hope this video helps.
Practice Links Slope of Line
What is slope ?
A vertical line has no slope or many people will call the slope "undefined slope". The video demonstrates why a verticle line has an undefined slope.
Quick review of slope
- The steeper the line the higher the slope.
- The slope of a line can be determined using Rise over Run ( Rise/Run )
- The formula for slope equals
A horizontal line has a slope of zero.
Slope Intercept Equation.
|
m = y-b/x |
Solve for slope |
|
b=y-mx |
Solve for y intercept |
|
x=y-b/m |
Solve for x |
|
y=mx +b |
Solve for y |
Slope intercept equation is an equation of a straight line that can be used to graph the line.
b= y intercept
m=slope
Related Sites.....
Slope Calculator A helpful slope calculator from Calculator.net
Slope Intercept Calculator Calculates slope and plots lines in the following forms: slope y-intercept and standard form.
Questions answered in this video...
What is undefined slope?
What is the slope formula?
How do you calculate rise over run?