For the table prepared by the Mike, he has "not" described a proportional relationship.
What is Proportionality?
Equivalence between two ratios in algebra is called proportionality. A and B are in the same ratio as C and D in the formula a/b = c/d.
- Step 1: Calculation for the slope of the points:
Table prepared by Mike is,
X Y
0 2
3 5
6 8
The ratio of the y-to-x value differential between two locations, as seen on a two-dimensional plane.
[tex]\frac{5-2}{3-0} =\frac{8-5}{6-3} =\frac{8-2}{6-0} =1[/tex]
Since, the slope is the same, the relationship is linear.
- Step 2: Check for proportional relationship.
The function is said to be linear if we plot these points on a line and obtain a straight line. If this line passes through point (0,0), the connection will be proportional.
Equation of line passing through two points is obtained by,
=> y-b = m(x-a)
Consider point (0,2)
=> y-2 = 1×(x-0)
As, y = x+2, is equation of linear function.
- Step 3: Checking whether the line passes through origin (0,0)
LHS, at ,(0,0) = 0
RHS at (0,0 )= 0+2=2
LHS≠RHS
Therefore, even though the supplied points add up to a linear function, there is no proportional relationship.
To know more about, two dimensional figures, here
https://brainly.com/question/1211190
#SPJ2
