what is the value of k?

Question

For what value of k will the line through the points (k,6) and (5,14) have a slope of 2?

Answer 1

You have a formula for slope, m = (y₁ - y₂)/(x₁ - x₂)

 

Substitute everything you know--you have numbers for everything except x₁ which is "k"

 

Then you can solve for k using algebra skills.  Check your answer.

Answer 2

slope of line = y2 -y1 / x2 -x1

 

            2 = 14-6 / 5-k

 

            2 =8 /5-k

 

            10-2k = 8

 

           2 =2k

 

           k=1