SOLUTION: Find a value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3

Question 213181This question is from textbook
: Find a value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3 This question is from textbook

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Find a value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3

Step 1. has a slope and y-intercept of 3.

Step 2. By Definition the slope m is

where m=-1/4 since lines will be parallel

Step 3. Let x1=k and y1=-10 for (k,-10) and x2=5 and y2=-6 for (5,-6)

Step 4. Substitute values in Step 3 into Step 4

Now multiply 4(5-k) to get rid of diameters.

Add k-16 to both sides to get k

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit
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Good luck in your studies!

Respectfully,
Dr J

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