what is the equation for the function table
X= 4 5 6 7 12
Y= -2 0 2 4 ?
What is the y-intercept?
Do you need to find the ? as well?
Pick any two points to calculate the slope as 2
(or notice that for every increase of 1 in the x, the y increases by 2, so rise/run = 2/1 )
so equation is y = 2x + b
plug in (5,0)
0 = 2(5) + b
b = -10
so
y = 2x -10
then if x=12
y = 24-10 = 14
To find the missing value in the Y column of the function table, we need to determine the equation that relates the values of X and Y.
To do this, we can look for a pattern in the values. By comparing the values of X and Y, we notice that for each increase of 1 in X, Y increases by 2.
From X = 4 to X = 5, Y increases from -2 to 0. From X = 5 to X = 6, Y increases from 0 to 2. And so on.
Therefore, we can conclude that the equation for this relationship is Y = 2X - 10.
Now we can use this equation to find the missing value in the Y column.
For X = 12, we substitute it into the equation:
Y = 2(12) - 10
Y = 24 - 10
Y = 14
Therefore, the missing value in the Y column is 14.