Answer:
Third option: [tex]m=19[/tex]
Step-by-step explanation:
The rate of change is the slope of the line.
The formula for calculate the slope is:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
You know that:
[tex]slope=-8\\y_2=m\\y_1=27\\x_2=11\\x_1=10[/tex]
Then, you can substitute them into the formula:
[tex]-8=\frac{m-27}{11-10}[/tex]
Finally, you must solve for "m":
[tex]-8=\frac{m-27}{11-10}\\\\-8(1)=m-27\\\\-8+27\\\\m=19[/tex]
