Answer:
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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]
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
[tex]k=y/x[/tex]
For (1,3) ------> [tex]k=3/1=3[/tex]
For (2,6) ------> [tex]k=6/2=3[/tex]
For (3,9) ------> [tex]k=9/3=3[/tex]
The equation is
[tex]y=3x[/tex]
The slope of the line is 3
Answer:
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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points of the line: (0, 0) and (1, 3). So, the slope of the given line is
[tex]m=\frac{3-0}{1-0}[/tex]
[tex]m=3[/tex]
Therefore, the slope of the line is 3.
