Use an equation to find the value of k so that the line that passes through (k,4) and (3,-2) has a slope of m=-1

Answer 1

slope = -1 = (4+2)/k-3)

3-k = 6

k = -3, (-3,4) is the other point

y=(-1)x + b. Plug in either point to solve for b

-2 = -3 + b

b = 1

y=-x + 1 is the equation of the line through the two points with slope = -1