Question

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

Answer 1

Answer:

$y = x + 2$

Step-by-step 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)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{8-2}{6-0}$

$m = \frac{6}{6}$

$m =1$

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

$y = x + 2$