Answer:
?=38
average rate of change =3 (on the way they partitioned the x's)
Step-by-step explanation:
This is a line because it has the same rise/run ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]) per pair of points.
That is, the following are equal:
[tex]\frac{17-5}{2-(-2)}=\frac{26-17}{5-2}[/tex]
[tex]\frac{12}{4}=\frac{9}{3}[/tex]
[tex]3=3[/tex]
The slope (also called the rate of change) is 3.
This means the calculating of the last pair of points should have the same rise/run.
That is we should have:
[tex]\frac{?-26}{9-5}=3[/tex]
[tex]\frac{?-26}{4}=3[/tex]
Multiply both sides by 4:
[tex]?-26=12[/tex]
Add 26 on both sides:
[tex]?=12+26[/tex]
[tex]?=38[/tex]
