Which equation shows this relationship?

Option A is the correct answer.

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 6

y1 = 2

x2 = 3

x1 = 1

Slope,m = (6 - 2)/(3 - 1) = 4/2 = 2

To determine the intercept, we would substitute x = 3, y = 6 and

m= 2 into y = mx + c. It becomes

6 = 2 × 3 + c = 6 + c

c = 6 - 6 = 0

The equation becomes

y = 2x

√18, 13/3, 4.6, 4π

Step-by-step explanation:

joe = √18 = 4.24 mm

Lisa = 13/3 = 4.33 mm

Pablo = 4.6 = 4.60 mm

Julien = 4π = 12.56 mm