Question

A straight line through A(-6,4) B(4,-2k) is parallel to the line with equation y=4x + 6. Determine the value K.
I know the- I'll give brainliest to whoever gets the right answer.

Answer 1

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