Question

The equation of line n is 8x - 14y + 3 = 0.

For what value of k is the graph of kx - 7y + 10 = 0 parallel to line n?

Answer 1

For parallel lines:
"All parallel lines have the same slope!"

As these lines should be parallel, so their slopes would be the same.

Slope of line n:
8/14 = 4/7


Slope of the other line:
k/7

Equating them:
4/7 = k/7

Clearly means that k=4

I hope you got the idea!