Answer:
It is therefore a exponential function, as y increases with x.
Step-by-step explanation:
coordinates: ( 7 , 5 ) , ( 16 , 10 )
Slope: [tex]\frac{y2-y1}{x2-x1}[/tex]
: [tex]\frac{10-5}{16-7}[/tex]
: [tex]\frac{5}{9}[/tex]
equation: y - y1 = m( x - x1 )
: [tex]y - 5 = \frac{5}{9}(x - 7)[/tex]
: [tex]y = \frac{5}{9}x+\frac{10}{9}[/tex]
check if third coordinates matches:
[tex]y = \frac{5}{9}(25)+\frac{10}{9}[/tex]
[tex]y = 15[/tex] ......does not match, so its not linear.
