Summary Blog Post- Grade 9 Linear Relations

What is a Linear Relation?

A Linear Relation is an equation that when graphed makes a straight line. It makes it simple to check if your answer is correct if your line is not straight or you cant put a line through your plots you’ve done it wrong.

 

 

How to Find the Rule for a Pattern

When you’re trying to find the rule for a pattern you should start by seeing how much it is going up or down. In this case, it is going up 2 so that becomes the first number you use ( in front of the x ). Next you need to see what you do to x times the number to get your y. In this case 2 times 1 is 2 and plus 1 is 3. so your final equation would be 2x + 1 =y.

 

How to Plot a Point

When you are plotting points it’s important to keep double-checking. With the graphs it’s easy to miscount and put something in the wrong place. The x value is where you should look first the x-axis is the Horizontal line, You just look across it for the number you have. Then you take your y value and look on the vertical line for that number and plot it down at the hight of y and length of x.

How to Graph a Linear Relation

A linear relation is when your equation makes a straight line.  As long as you have plotted correctly you will get your straight line

 

 

 

 

 

How to Graph Vertical and horizontal lines

When you are given a rule that is just a number = x or a number = y it means it is going to be a straight line. When given a question like this you just find that one spot on the graph for example 2 on the x-axis and put your line there.

 

 

Vocabulary:

  • X and Y axes: The different lines on a graph, x is horizontal y is vertical.
  • 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: The middle of the graph or (0,0). It is a fixed place on the graph.
  • Plotting: Plotting is to put your coordinates on a graph.
  • Linear pattern: When your coordinates have a pattern going up or down and it results in a slanted straight line.
  • Increasing pattern: When your pattern goes up.
  • Decreasing pattern: When your pattern goes down.
  • Horizontal line: the X-axis and the line that is flat.
  • Vertical line: the Y-axis and the line that is going straight up.

Something I learned that wasn’t mentioned

I learned that when plotting you can skip numbers on the x-axis. Before I thought that you had to have one on each number of the x-axis but it turns out you don’t.

 

 

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