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BlackZzzverrR [31]
3 years ago
13

A graph represents the perimeter ,y, in units for an equilateral triangle with the side lengths x units. The slope of the line i

s 3 and the y-intercept is 0

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

<u><em>The correct question is</em></u>

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

<u><em>Explanation</em></u>

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

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