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A table can be represented with a linear function equation as y = mx + b, where m is the slope and b is the y-intercept.
<h3>How to Represent a Table with Linear Function?</h3>Assuming we have a table of values as shown in the image attached below, to write an equation of linear function for the table, do the following:
Pick two pairs of values, say, (1, 5) and (2, 25) and find the slope (m):
Slope (m) = change in y / change in x = (25 - 5)/(2 - 1)
Slope (m) = 20
Find the y-intercept (b) by substituting (x, y) = (1, 5) and m = 20 into y = mx + b:
5 = 20(1) + b
5 = 20 + b
5 - 20 = b
-15 = b
b = -15
Write the equation of the linear function by substituting m = 20 and b = -15 into y = mx + b:
y = 20x - 15
Learn more about the linear function on:
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Answer:
or
Step-by-step explanation:
Substitution means plugging in one variable's value that consists of the opposite variable. Because is already specified, you can plug it into the second equation's
value. After doing that, it looks like this:
Then you would distribute the across the parentheses next to it, like this:
Then, add like terms, like this:
Then divide both side by to isolate
.
Now, you can plug (
) into either equation, but the first one seems simpler so you would pick that. It would look like this:
Solving would look like this:
So the answer is or
.