What I Learned about Grade 9 Linear Relations Summary

Horizontal and vertical Lines:

An example for this is that y=3 what you do is you find 3 y and then it just goes horizontally across and If it is x=3 you find 3x and go vertically all the way through. When you want to make a smaller line you have to put down where it stops and where it finishes. An example is x=3 {2<y<4}

How to determine points on mixed up equations or ones with fractions:

-3x+ 2y=2 This is actually very simple because all you have to do is get Y. You can achieve the answer by adding 3x to the side with 2. Which makes 2y= 3x+2 divide by 2 and you will get the formula. when you get a number that is a fraction you put the multiples in x column and y will be a full answer.

What the number in the equation means in the line:

If the x is negative then the picture will be going but if the x is positive then the line will be going up and is positive.

How to fill the table when you get the formula:

This is very simple because all you need to do is multiply the number on the x column and then add or subtract to find y. Ex: 2x+3 would be 1 x 2= 2+3= 5 so the answer and the difference between the numbers in the x number. So the question goes up by 2 every time.

How to extend the pattern on an axis:

You can extend the pattern on the axis to see what all of the numbers would be and also to check if your equation is correct by checking if the line is fully straight. unless the number can be divided to a fraction you dont need to extend fully.

Plot points on a coordinate axis:

Plot points on a coordinate axis work very simple and it works like this. If your equation is 2x+3 you go 2 points to the x axis and 3 points up to y. So y is going up and x is going to the sides. whatever the equation is you just put it into the graph to make it work. The coordinate axis x and y meet at zero which splits up the picture into four quadrants.

How to convert a table to a rule:

You first see how much it goes up by each time and that is the second number. What you do next is to see how much is left and multiply that part of the equation.

How to convert pattern to table:

First you see what the pattern is and see how much it goes up by and then you order it by 1,2,3,4 on the x side and how ever much you need to multiply you do that and your answers will be able to be filled in.

Extend a growing pattern and fill in missing numbers:

  1. Extending a growing pattern is just a realization of the increase or decrease of the number and just continuing the number. Filling in the missing number is finding how many numbers are between the two that you can see and just multiplying the the rule and the number. 

 

Leave a Reply

Your email address will not be published. Required fields are marked *

Skip to toolbar