I need a little help. The Question Is:
Use the function rule to complete the table
x: -2, -1, 0, 1, 2,
y:________
Use the function rule to complete the table
-10x+y=4
I was wondering what does the 4 do and why it is there.
The 4 is part of the rule; you need to find numbers x and y, such that -10x+y = 4
so, if x = -2 then
-10(-2)+y = 4
20+y = 4
y = -16
and so on for the other values of x
I'm not looking for any answers, I was just wondering why it is there.
In the given function rule, -10x + y = 4, the number 4 is called the constant term or the y-intercept. It represents the value of y when x is equal to 0.
To complete the table using the function rule, we need to substitute the given values of x into the equation and solve for y.
Let's go step by step:
For x = -2:
-10(-2) + y = 4
20 + y = 4 (multiplying -10 and -2 gives us a positive 20)
y = 4 - 20
y = -16
For x = -1:
-10(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6
For x = 0:
-10(0) + y = 4
0 + y = 4
y = 4
For x = 1:
-10(1) + y = 4
-10 + y = 4
y = 4 + 10
y = 14
For x = 2:
-10(2) + y = 4
-20 + y = 4
y = 4 + 20
y = 24
Completing the table, we have:
x: -2, -1, 0, 1, 2
y: -16, -6, 4, 14, 24
So, the values of y that complete the table are -16, -6, 4, 14, and 24. The number 4 in the equation represents the y-intercept, which is the value of y when x is 0.