Answer:
A. -18
Explanation:
The end points of a line segment AB are A (3, -12) & B (6, k)
What is the value of k if the slope of line segment AB is -2?
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Answer + explanation:
Basically they’re asking us to find out the y2 of the second point of the line segment.
To find out k, use Slope-Formula
m = slope
m = (y2 - y1)/(x2 - x1)
where the first point describes (x1, y1) & the second point describes (x2, y2)
Points: (3, -12) & (6, k)
m = (k - -12)/(6 - 3)
Place the slope at the end of the formula to solve for k
(k - -12)/(6 - 3) = -2
Subtract 6 - 3
(k - -12)/(3) = -2
K is a negative number since we have a negative slope
Substitute k for the possible value
((-18) - (-12))/3 = -2
Two negative signs make addition
-6/3 = -2