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The function rule for this graph is

The function rule for this graph is-example-1

1 Answer

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Answer:

y = -
(1)/(2) x + 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m =
(0-2)/(4-0) =
(-2)/(4) = -
(1)/(2)

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = -
(1)/(2) x + 2 ← function rule

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