Question

Hello! I kinda need a little help with this...

Answer 1

I honestly don't know or I would have replied. Sorry :(

Answer 2

Answer:  y = -2

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Explanation:

Find the slope of line m using the slope formula

slopeM = (y2-y1)/(x2-x1)

slopeM = (2-8)/(-1-6)

slopeM = -6/(-7)

slopeM = 6/7

The slope of line m is 6/7. The perpendicular slope is -7/6. We flip the fraction (aka reciprocal) and flip the sign (from positive to negative). The phrase "flip the fraction and flip the sign" is a handy way to think of "negative reciprocal", at least in my opinion. Note how the two slopes 6/7 and -7/6 multiply to -1 to prove they are perpendicular slopes

We'll use the slope formula again to set up the slope for line n. We don't know y, but we can set the fraction equal to -7/6 and solve for it.

slopeN = (y2-y1)/(x2-x1)

slopeN = (y-5)/(5-(-1))

slopeN = (y-5)/(6)

-7/6 = (y-5)/6

-7*6 = 6(y-5)

-42 = 6y-30

6y-30 = -42

6y = -42+30

6y = -12

y = -2

So in short, if y = -2, then line n goes through (-1,5) and (5,y) = (5,-2). The slope of line N is computed to be...

slopeN = (y2-y1)/(x2-x1)

slopeN = (-2-5)/(5-(-1))

slopeN = (-2-5)/(5+1)

slopeN = -7/6

which is the proper slope value we want.