(20 POINTS) help, please and thank you! :) <3

The given points are: (-2,4) and (6,b)

The slope is -3/2

The slope is the change in Y over the change in x.

So you get:  -3/2 = (b - 4) / (6 - -2)

Simplify to get: -3/2 = (b - 4) / 8

Now we see the denominator on the right is 8 and on the left is 2, this is a scale of 4: (8 / 2 = 4) so the numerator on the right needs to be scaled by 4 as well.

The left side is -3, so the right side needs to equal -3 x 4 = -12

Now we know b - 4 = -12, solve for b:

b -4 = -12, add 4 to both sides:

b = -8

Now check:

(-2,4) (6,-8)

Slope = (-8 - 4) / (6 - -2) = -12 /8 = -3/2

b = -8

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

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step-by-step explanation: