Question

which function describes this table of value x -8, -4, 4, 8, y -2, 0, 4, 6

Answer 1

we conclude that the linear equation represented by the given table is:

y = (1/2)*x + 2

Which function is the one described by the table?

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we can use just the first two points on the given line:

(-8, -2) and (-4, 0)

Then the slope will be:

$a = \frac{0 - (-2)}{-4 -(-8)} = \frac{2}{4} = \frac{1}{2}$

Then the linear equation is something like:

y = (1/2)*x + b

To find the value of b, we can use one of the two given points, I will use (-4, 0), then:

0 = (1/2)*(-4) + b

0 = -2 + b

2 = b

Then we conclude that the linear equation represented by the given table is:

y = (1/2)*x + 2

Then the correct option is the first one.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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