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What are Linear Relationships?
Linear relationships are the ratio between 2 values that form a straight line when they are graphed. Linear relationships use the following equation:
y = mx + b
How do you find a Linear Relationship?
Method 1: If you have a table...
If you have a table, calculate the slope using 2 sets of data in your table. Typically, you choose the first one and the second one. Then, plug the values into this equation:
Method 2: If you have a graph...
If you have a graph with a straight line, pick two points that intersect with the line, and find slope using the equation from Method 1.
How do you show a Linear Relationship?
To show a linear relationship, you can either show it as an equation, y=mx+b, or graph it.
Here's what each variable means in the equation:
m=slope
b=y-intercept (where the line crosses the y-axis)
In this equation, x and y remain undefined.
So, you just insert the values into the equation to see the relationship.
And with this equation, you can graph a linear relationship by placing two points that align with the slope and y-intercept.
Experiment with it!
Try out this program that helps you calculate linear relationships. Use the sliders to orient the angle and position of the line to see the slope of the linear relationships.
The m value is the rise/run value, and b is the y-intercept.
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