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antoniya [11.8K]
3 years ago
6

A straight line through A(-6,4) B(4,-2k) is parallel to the line with equation y=4x + 6. Determine the value K.

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
Answer:
k=-22

Solution:
y=4x+6
y=mx+c

m=4, since the straight line is parallel to this equation, thus, they will have the same gradient.

Gradient, m=(y1-y2)/(x1-x2)
4=(4-(-2k))/(-6-4)
-40=4+2k
-44=2k
k=-22
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