Question

Find the value of k so that the line passing through the points (k, 7) and (1, 1) is parallel to the equations -3x + y = 2

Answer 1

Explanation:

-3x+y=2 --> y=3x+2

Since the two lines parallel, the line passing through (k,7) and (1,1) should be determined as y=3x+c

Then bring (1,1) into y=3x+c

3+c=1, then c=-2

So y=3x-2

Since (k,7) is also on that line, then 7=3k-2

9=3k

k=3