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
[tex]y=mx+b[/tex]
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
[tex]m=3\\b=0[/tex]
substitute
The linear equation is
[tex]y=3x[/tex] ---> Is a proportional relationship because the line passes through the origin
see the attached figure to better understand the problem
Explanation
The slope is ---> [tex]m=\frac{3}{1}\frac{units}{unit}[/tex]
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
