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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 class=

Sagot :

MrRoyalidn

Answer:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation

First, pick any 2 corresponding coordinates

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (6,8)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8-2}{6-0}[/tex]

[tex]m = \frac{6}{6}[/tex]

[tex]m =1[/tex]

The equation is calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,2)[/tex] and [tex]m =1[/tex]

[tex]y - 2 = 1(x - 0)[/tex]

[tex]y - 2 = (x - 0)[/tex]

[tex]y - 2 = x[/tex]

Make y the subject

[tex]y = x + 2[/tex]

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