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Which equation matches the graph of the greatest integer function given
below?

Which equation matches the graph of the greatest integer function given below?-example-1

1 Answer

10 votes

Answer:


y = x + 2

Explanation:

Given

The attached graph

Required

Determine the equation

First, pick any 2 corresponding coordinates


(x_1,y_1) = (0,2)


(x_2,y_2) = (6,8)

Next, calculate the slope (m)


m = (y_2 - y_1)/(x_2 - x_1)


m = (8-2)/(6-0)


m = (6)/(6)


m =1

The equation is calculated as:


y - y_1 = m(x - x_1)

Where:


(x_1,y_1) = (0,2) and
m =1


y - 2 = 1(x - 0)


y - 2 = (x - 0)


y - 2 = x

Make y the subject


y = x + 2

User Brian Putnam
by
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