Question

A graph represents the perimeter ,y, in units for an equilateral triangle with the side lengths x units. The slope of the line is 3 and the y-intercept is 0

Answer 1

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

The correct question is

Explain what the slope and intercept mean in each situation.

A graph represents the perimeter,y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem

y is the perimeter in units

x is the side length of a equilateral triangle

we have

$m=3\\b=0$

substitute

The linear equation is

$y=3x$ ---> Is a proportional relationship because the line passes through the origin

see the attached figure to better understand the problem

Explanation

The slope is ---> $m=\frac{3}{1}\frac{units}{unit}$

That means

The ratio of perimeter of triangle to side length of triangle is 3:1

The y-intercept is 0

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this context

The y-intercept is the value of the perimeter when the value of the side length is equal to zero

so

The value of the perimeter is 0 when the value of side length is 0