Question

2 easy math questions!!!!!! Show work! Multiple choice!

Answer 1

Greetings!

Question Seven:
To find the slope given two points, we can use the slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Input the points: (-11,5) (-6,1)
$m= \frac{1-5}{-6-(-11)}$

Simplify the equation:
$m= \frac{-4}{5}$

A parallel slope would be identical to this slope. 

Therefore, the answer is B:
$\boxed{m_{2}= \frac{-4}{5}}$

-----------------------------------------------------------------------------------------------------------------

Question Eight:
This question essentially asks you to rearrange the equation into slope y-intercept form: 
$y=mx+b$

Rearrange the equation:
$8x+7y=51$

$7y=-8x-51$

$y=\frac{-8x-51}{7}$

$y=\frac{-8}{7}x-\frac{51}{7}$

The slope (rate of change) is $\frac{-8}{7}$

Therefore the answer is F:
$\boxed{m=\frac{-8}{7} }$

I hope this helped!
-Benjamin

Answer 2

Answer:

both problems are shown