Answer:
The slope is 5/3.
The slope is the ratio needed to multiply our model airplane's length by to get the actual length of the airplane that is being modeled.
Step-by-step explanation:
The graph is proportional since it goes through the origin. This means the slope can be found by just dividing a y by it's corresponding x.
That is [tex]\frac{10}{6}=\frac{5}{3}[/tex].
You could use the formula they have given for the slope:
[tex]\frac{y_2-y_1}{x_2-y_x_1}=\frac{5-0}{3-0}=\frac{5}{3}[/tex].
I like to find the slope by lining up the points like this:
(3,5)
-(0,0)
----------(I then perform the subtraction vertically.)
3 5
Second difference goes on top of first difference.
The slope is 5/3.
The slope is just the ratio that we need to multiply our model airplane's length to get the actual length.
See 3(5/3)=5 which is the y that corresponds to x=3.
See 6(5/3)=30/3=10 which is the y that corresponds to x=6.
