We will learn how to solve for slope and y-intercept on a table
First you have to find a pattern between X and Y. The pattern is only addition or subtraction
+1
+1
+1
0 51 72 93 11
x y
+2
+2
+2
2
1
0 51 72 93 11
x y
2
1
1
2
Then after you find a pattern within the table, you place the Y table pattern over the X table pattern.
0 51 72 93 11
x y
But because the numbers are arranged in this pattern, the answer would be 2, because 2 divided by 1 is 2. Usually when a number is over 1, it is that number, but most of the time you are going to be dividing by a common factor.
After you have placed them in the fraction form, divide them by the common factor.
1
2
1 = 2
The Y-intercept of this graph is 5, because the 0 on the X side is across from it.
0 51 72 93 11
x y
So the complete answer would be: Y=2x+5
To find the Y intercept, you would go find the number 0 on the X side and follow that number to the Y side and that is how to find the Y intercept
Also there is something called non-proportional and proportional that is going to be related to the graph. A non-proportional relationship is when the pattern on a graph or table is not always going to be equal. For example, one of the numbers for the pattern are going to be a 4, then the next number pattern is a 6. So on and so on, the numbers will not be equal or aligned. For a proportional relationship,, the numbers on the pattern of the graph or table will be the same, and will align. For example, the pattern on a table or graph will all equal the number 4.