Answer:
k = 7
Step-by-step explanation:
y = 3x
The slope is 3
Parallel lines have the same slope so a line parallel will have a slope of 3
Using the slope formula
m = (y2-y1)/(x2-x1)
3 = ( 7-1)/(k-5)
3 = 6/(k-5)
Multiply each side by k-5)
3 * (k-5) = 6
Divide each side by 3
k-5 = 6/3
k-5 = 2
Add 5 to each side
k = 7