Answer:
The table and equation have the same slope
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Step 1
Find the slope of the table
we have
[tex]A(4,12)\ B(5,15)[/tex]
Substitute the values
[tex]m=\frac{15-12}{5-4}[/tex]
[tex]m=\frac{3}{1}=3[/tex]
Step 2
Find the slope of the equation
we have
[tex]y=3x[/tex] ------> the equation represent a linear direct variation
The slope is equal to [tex]m=3[/tex]
therefore
The table and equation have the same slope
