a line has the equation 2x + 5y = 7. another line passes through (3,6) and (k,9). what value for "k" will make the lines parallel?

please tell me HOW to do this, too!
thanks!

1 answer

Parallel lines have the same slope.

9-6/k-3

3/k-3

The slope from the other must be

5y=7-2x

y= 7/5-2/5x

slope = -2/5

3/k-3=-2/5

15= -2 (k-3)

15= -2k+6

9= -2k

9/-2=k