Use an equation to find the value of k so that the line that passes through the given points has the given slope. (−4,k), (6,−7); m=−15

k = 143

Step-by-step explanation:

Use the point-slope formula for the equation of a straight line:

y-h = m(x-k), where (h,k) is one of the given points and m is the given slope (-15).  Here I'll use the point (-4,k).

y-k = -15(x-[-4]), or y - k = -15(x+4).  Now use info from the other point:  x=6 and y = -7:

-7 - k = -15(6+4).  Here we have enough info to be able to find k.

Solving for -k, we get -k = 7 - 90 - 60, or -k = -143.  Then k = 143.

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