Linear Relationship- A relationship in which there is a constant rate of change between two variables. A linear relationship can be represented by a straight-line graph and by an equation of the form y=mx+b
Y-Intercept-is where the x- axis crosses the y- axis Ex) y=2x+10 would start at 10 on a graph and then increase by 2 every time.
Y-Intercept-is where the x- axis crosses the y- axis Ex) y=2x+10 would start at 10 on a graph and then increase by 2 every time.
![Picture](/uploads/5/9/7/0/59700795/9864272.png?361)
This is my linear table. It is a linear table because as the x-axis increases the y-axis increases. This table is also linear because if you would graph these numbers on a graph you would be able to see that the line is linear because it is a positive slope and it increases at a constant rate. The x-axis is increasing by 1 every time and the y-axis is increasing by 7 every time so it shows its linear. There is not a y-intercept in every graph or table like this one, it would start at 0 but if you had a table that was for a bake-sale for your school and you started with 50 dollars before you sold any food the y-intercept would be 50 dollars.
Graph
Equation
Hint:Use Y=Mx+b for the equation and find the slope.
My parents got my table done on their first try and thought it was easy. They did the graph correct and got the y-intercept right but when they tried the equation they weren't sure how to do it. I told them to use rise over run and Y=Mx+B and then they remembered how to find the slope and they remembered that the Y-intercept was where the X crosses the Y axis.
Reflection
I learned from this investigation how to make a linear model from just using a table or an equation. I also learned that linear equations are used in many different ways like graphing and checking if something is rising or decreasing at a constant rate. I also understand slope and Y-intercept much better now from seventh grade because I was still confused on how to make a graph or an equation from just a table or a couple of numbers.
Photo used under Creative Commons from Keith Allison