Question

Is the relationship between the width and length of the patio linear? Why or why not

Answer 1

The relationship is linear

Explanation:

Because there are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. This one is showing slope-intercept form

Point-slope form = y-y₁=m(x-x₁)

Standard form = Ax+By = C

Slope-intercept form = y = mx + b

Answer 2

The relationship is not linear.

A linear relationship can be represented by

y = k*x

Which means that the increments or decrements of x, have a proportional gain that corresponds to the changes of y

In the case of the picture

The length

l = 2*w - 5

has the same appearance as the slope intercept form of the equation of the line. However, the constant -5 adds a negative offset to the graph that dissolves the linearity between the variables l and w.