Question

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

Answer 1

both problems are shown

Answer 2

Greetings!

Question Seven:
To find the slope given two points, we can use the slope formula:

`m= (y_(2)-y_(1))/(x_(2)-x_(1))`

Input the points: (-11,5) (-6,1)

`m= (1-5)/(-6-(-11))`

Simplify the equation:

`m= (-4)/(5)`

A parallel slope would be identical to this slope.

Therefore, the answer is B:

`\boxed{m_(2)= (-4)/(5)}`

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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=(-8x-51)/(7)`


`y=(-8)/(7)x-(51)/(7)`

The slope (rate of change) is
`(-8)/(7)`

Therefore the answer is F:

`\boxed{m=(-8)/(7) }`

I hope this helped!
-Benjamin