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13 votes
13 votes
What is the value of k

What is the value of k-example-1
User Desean
by
2.8k points

2 Answers

10 votes
10 votes
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

User JustJeff
by
2.7k points
16 votes
16 votes

Answer:

(A)

Explanation:

M=-2

therefore

x¹=3, y¹=-12, x²=6 y²=k

M=(y²-y¹)/(x²-x¹)

-2=(k+12)/(6-3)

-2×3=k+12

-6=k+12

k=-18

User Khd
by
2.7k points