1. Identifying a Linear Equation from a Table of Values
Slope-Intercept Method

2. The tasks at hand Identify the slope of a line
Identify the intercept of a line
Just what is the intercept of a line?

3. The diagram to the right shows both the X-intercept and the Y-intercept of the linear equation Y = -2X + 4
As you can see, for the relation Y = -2x + 4, the X-intercept is (2, 0) and the Y –intercept is (0, 4).

4. Y = MX + B
To use a table of values, we must calculate both the slope and Y-intercept.
To accomplish this, we will always use the Slope-Intercept Formula (Y = MX + B)
M stands for the slope.
B stands for the Y-intercept.
Once we have completed this, we will have the equation.
So let’s begin!

5. Calculating Slope
Slope = the change in Y (the rise) as X is increased by 1 (the run)
Note the changes in the Y values
Increased by 2 every time while the values for X increase by 1
Therefore, slope will be
or simply 2. Therefore M = 2. X Y -2 -3 -1 1 3 2 5

6. Calculating The Y-Intercept
Now select one pair of coordinates.
Let’s use (2, 5) for this example
We could have chosen any of them
Insert this ordered pair and M into
Y = MX + B
Then solve for B

7. M = 2
Y = MX + B
5 = (2)(2) + B
5 = 4 + B
5 – 4 = 4 – 4 + B
1 = B
So, the equation will be Y = 2X + 1

8. Another example This time, Y is changing by 3 every time So M = 32 1 5 8 3 11 4 14
This time, Y is changing by 3 every time
So M = 3
Let’s use (2, 8)
Y = MX + B
8 = (3)(2) + B
8 = 6 + B
8 – 6 = 6 – 6 + B
2 = B
Y = 3X + 2