The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. a coordinate plane showing prism versus pyramid. the x-axis shows pyramid volume in cubic units and the y-axis shows prism volume in cubic units. the line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9). what is the slope of the line?

The slope of the line is 3

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have a line that passes through the origin,

so

The graph shows a proportional relation ship

For (1,3) ------>

For (2,6) ------>

For (3,9) ------>

The equation is

The slope of the line is 3

The slope of the line is 3.

Step-by-step explanation:

In the graph x-axis shows Pyramid Volume in cubic units and the y-axis shows Prism Volume in cubic units.

The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9).

If a line passes through two points and , then the slope of the line is

Consider any two points of the line: (0, 0) and (1, 3). So, the slope of the given line is

Therefore, the slope of the line is 3.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer:

what is your question that you ask

step-by-step explanation: