What I learned in Grade 9 Linear Relations

What is a Linear Relation

A linear relation is a pattern that increases or decreases by the same amount every time.

Linear Patterns Pack

What is a T-Chart and How to fill it

When finding the rule for a linear relation, you can put the numbers in a t-chart. A t-chart helps you record your data in one table. This chart helps you find the relationship between x and y. On the left side of the chart is x, and the right is y.

Praxis Core Math: Linear Equation Practice Questions

How to find the Rule for a Pattern

The first step is to know how much the pattern changes each time. Once you know how much your pattern goes up/down by you put the number next to x. Next you insert 1 instead of x as it is the first number in the pattern. Example: 6(1)=y. You know that 6(1) does not equal 3. The next step is to find how you get from 6to 3. To get from 6 to 3 you subtract 3. Now add -3 to your rule. Your rule now looks like 6x-3=y. To see if this is correct, try it on the next number.

Graph equations with Step-by-Step Math Problem Solver

How to Plot a Point

On a graph, the horizontal line is the x axis and the vertical line is the y axis. The first number on your coordinates is the x number and the second number is the y. Example: 2,3 the 2 is x and 3 is y. The first number tells you which way you are going to go on the x axis. If the number is positive you go to the right and if the number is negative you go to the left. The second number tells you which way you are going on the y axis. If the number is positive you are going up the y axis and if the number is negative you are going down the y axis. If are coordinate is 2,3 you will go right 2 times, and then up 3 times. Once you have done this, you place your point where the coordinates lead.

How to Graph a Linear Relation

To graph a linear relation, put your equation into a t-chart. Once you have a couple pairs of numbers you can insert the points onto the graph. Example, the rule 6x-3=y, the first three numbers are 3,9,15. Now your t-chart has 1,2,3 in the x column, and 3,9,15 in the y column. When you put the two together you get your coordinates. For example, 1,3  2,69 3,15. Once you have these coordinates you can plot them on the graph.

How to Graph Vertical and Horizontal Lines

A vertical line goes across the x axis. This means that the formula you are going to use x = a number. For example x=3. A horizontal line goes across the y axis. This means that the formula you are going to use is y = a number. For example y=-3. This will create a horizontal line to the right and left of -23 on the y axis.


X Axis – The horizontal line on a graph.

Y Axis – The vertical line on a graph.

T-Chart – A chart that has two columns.

Quadrant – A graph that is split in 4 parts.

Origin- The middle of the graph.

Plotting – Where you place your point on a graph.

Linear Pattern – A pattern that increases or decreases by the same amount each time.

Increasing Pattern – A pattern that increases each time.

Decreasing Pattern – A pattern that decreases each time.

Horizontal Line – A line that runs from left to right.

Vertical Line – A line that runs top to bottom.


Something Else I learned

Something else that I learned in this unit is restricting your line to between two points. This is useful because without the formula, you will have a long line running from one side of the graph to the other.


What to do Now?

I think people should just stop doing hand gestures to each other as a greeting until further notice from the government. I think this because it is still unclear on how easily the virus spreads, it would be a safe bet on not to touch others. But, If people were to greet each other with some sort of hand gesture, people should greet each other by not touching each others hands. For now, people should not shake each others hands, but when this pandemic has come to an end, people will probably go back to their old ways.

The Importance of Why

No light bulb(s) in staircase



Why doesn’t it work well?

Can be dangerous

Why is it dangerous?

Because you cannot see where you are going

Why can you not see where you are going?

Because there is no light bulb slot to put a light bulb anywhere in the ceiling.

Why is there no light bulb slot in the ceiling?

Because it was poorly designed


Why is it poorly designed?

The workers did not think to have lightbulbs in the staircase

Found Poem

I made this by scrolling through emails I was sent by my teachers and chose some words that describe our current situation (being quarantined).


Good morning Gentlemen,


Taking care of yourself?

Let me know


Stay safe

Don’t worry


This time has been rough

Together we will get through this


I hope you are all well and safe

Avoid leaving your house


Until then please be patient

I’m here to help


This situation is new to everyone and we will get through it… together


Please stay safe.

Importance of Fasteners

Wood Screws: Screws used for wood and other soft materials.

Machine Screws: Used for the assembly of metal parts.

Self Cutting Machine Screws: Machine Screws with a thread cutting, self tapping point.

Sheet Metal Screws: Designed to be directly driven into sheetmetal. Can also be used on plastic, fiber glass, or wood.

Self Driving Sheet Metal Screws: Just Sheet Metal Screws with a self drilling point.

Hex Bolt: Used with a nut or a tap pole.

Carriage Bolts: Has a spur section which pulls in the material to prevent spinning during installation. Used to fasten wood parts.

Lag Bolts: A heavy duty screw that are used to connect heavy lumber or other heavy materials.

Socket Screws: Are Machine Screws with an internal hex socket.

Set Screws: Used to hold a nub colour, pulley or gear.

Eye Bolt: Used for attaching a rope or a chain.

Eye Lag: Uses wood thread instead of machine thread.

J Bolts: Used for tie downs.

U Bolts: Attaching pipes and other round surfaces.

Shoulder Bolts: To create a pivot point.

Elevator Bolts: Used in conveyer systems.

Sex Bolts: Used for through bolting applications, where a head is desired on both sides of the joint.

Mating Screws: Has a shoulder that matches the diameter of the sex bolt.