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Identify the graphed linear equation.

A) y = 2/5x - 5

B) y = 1/5x - 5

C) y = 2/5x + 5

D) y = 1/5x + 5

Identify the graphed linear equation. A) y = 2/5x - 5 B) y = 1/5x - 5 C) y = 2/5x-example-1

1 Answer

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Answer: Choice D) y = (1/5)x + 5

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Step-by-step explanation:

The y intercept is 5, as this is the the location where the line crosses through the vertical y axis. We can cross choice A and choice B off the list as these equations have a y intercept of -5.

Recall that y = mx+b has m as the slope and b as the y intercept.

We see the graph has a slope of 1/5 because we start at (0,5) and move up 1, then move over to the right 5 units to arrive at (5,6), which is another point on the red line. The equation for choice D has a slope of 1/5 because m = 1/5 for the equation y = (1/5)x + 5 in slope intercept form y = mx+b.

That's why choice D is the answer.

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