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The table below shows pairs of value that satisfy a linear function.

What is the y-intercept of the graph of this function?

The table below shows pairs of value that satisfy a linear function. What is the y-example-1
User Zdyn
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Answer:

-27

Explanation:

User Gabino
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The y-intercept of the graph of this linear function is -27. This means that the graph intersects the y-axis at the point (0, -27).

Let's choose two points from the table, for example, (2, -5) and (3, 6). Using these points, we can find the slope of the function using the formula:

slope = (change in y) / (change in x)

Using the points (2, -5) and (3, 6), we have:

slope = (6 - (-5)) / (3 - 2)

slope = 11 / 1

slope = 11

Now that we have the slope, we can find the equation of the linear function in the form y = mx + b, where m is the slope and b is the y-intercept.

Using one of the points, (2, -5), and the slope we found, the equation becomes: -5 = 11(2) + b

Simplifying this equation gives: -5 = 22 + b

To isolate b, we subtract 22 from both sides:

-5 - 22 = b

-27 = b

Therefore, the y-intercept of the graph of this linear function is -27.

User Mykola Berezhniuk
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