Asked by Katherine

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!

Answers

Answered by BeagleBoy
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

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