What is a Linear Relation?
A linear Relation is a pattern that goes up or down by the same amount every time.
How to Find the Rule for a Pattern?
When trying to find the rule for a pattern you need to look for how much the y list is going up or down by. If it was going up by +4 then it would be multiplied by x, to become 4x=y. But that wouldn’t equal 5. So, to get it to 5 we will have to add +1 to the equation. It should look like this 4x+1=y. now you can use this equation to keep the pattern going.
How to Plot a Point?
When you have numbers on either side of the T-chart you could be able to plot them on a graph. The number under x will determine where the along the x-axes you dot will go. Same for the y, it will determine how high up the dot will be.
How to Graph a Linear Relation?
The coordinates on your t-chart should make a straight line when all placed on a graph.
How to Graph Vertical and horizontal lines?
To create a straight line all you need is a number=x or a number=y. If you want it to go up and down 3 to the right of zero, then you would put 3=x. Same thing would happen with y but it would go across.
Vocabulary:
- X axes: The horizontal line on a graphing chart
- Y axes: The vertical line on a graphing chart
- T-chart: The chart you put your coordinates into to help organize and come up with an equation.
- Coordinate: The location your plot is on the graph. An example of a coordinate is (2,4)
- Origin: It is a fixed place on the graph, aka the middle of the graph or (0,0).
- Plotting: To put your coordinates on a graph
- Linear pattern: When your coordinates have a pattern going up or down and it looks like a slanted straight line.
- Increasing pattern: When your pattern goes up
- Decreasing pattern: When your pattern goes down
- Horizontal line: The X-axis/the line that goes across
- Vertical line: The Y-axis/the line that goes up and down
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