Question

Use the graph of the function to answer the question. A line that passes through points (-2, -2) and (2, 0).

What is the output of the function when the input is 0? Enter your answer as a number, like this: 42

Answer 1

`-1`

Explanation:

Using the graph, when the input,
`x`, is 0, the output,
`y` is
`-1`.

Answer 2

• The output is - 1 when the input is 0.

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Find the line with the given points (-2, -2) and (2, 0).

Find the slope:

• m = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(2 + 2) = 2/4 = 1/2

Use point-slope equation and one of the points:

• y - y₁ = m(x - x₁)
• y - (-2) = 1/2(x - (-2))
• y + 2 = 1/2(x + 2)

When x = 0, the output is:

• y + 2 = 1/2(0 + 2)
• y + 2 = 1/2(2)
• y + 2 = 1
• y = 1 - 2
• y = - 1