Answer:
The value of k is -1.
Explanation:
The points given are (2, k) and (6, -11).
Use the slope formula which is: Slope = y2 - y1/x2 - x1
We put the points in the formula, and then we have: Slope = -11 - k / 6 - 2
Subtract and divide those digits, and you get -5/2.
Multiply both sides by 4 to get rid of the denominator: -11 - k = -10
Add 11 to both sides now: -k = -10 + 11 and that turns into -k = 1
Lastly, multiply both sides by -1 one to solve for the variable k.
k = -1