Answers:
- Slope: 1
- y-intercept: -4
- equation: y = x-4
- y outputs: -4, -3, -2, -1, 0
Those y outputs are placed into the table in the order shown. For instance, -1 goes right underneath the '3'.
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Step-by-step explanation:
Let's find the equation first. The function rule is "the output is 4 less than the input". So whatever the input x is, we subtract off 4 to get the output y.
This leads directly to the equation y = x-4
This is the same as saying y = 1x-4 which is in the form y = mx+b
m = 1 is the slope and b = -4 is the y intercept
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Once we have the equation, we plug in the given input x values one at a time to find their corresponding y values.
For example, if x = 0, then,
y = x-4
y = 0-4
y = -4
So we have x = 0 pair up with y = -4. We write -4 underneath the 0 in the table given.
Then we write -3 under the "1" in the table because
y = x-4
y = 1-4
y = -3
And so on. Repeat this process until you get to x = 4.
You should have these ordered pairs
- x = 0, y = -4
- x = 1, y = -3
- x = 2, y = -2
- x = 3, y = -1
- x = 4, y = 0