Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).

k = 2

Step-by-step explanation:

Perpendicular lines have slopes opposite reciprocal

Formula to find a slope:

m = (y₂-y₁)/(x₂-x₁)

Coordinates of the first line:

(k-1, k+2) and (4, -1)

Coordinates of the second line:

(-3, 2) and (2, 5)

Slopes of the lines:

m₁ = (-1 - k -2)/(4 - k + 1) = - (k + 3)/-(k -5) = (k + 3)/ (k - 5)m₂ = (5 - 2)/ (2 + 3) = 3/5

Since m₁ = - 1/m₂, we have:

(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2

So the answer is 2

Ithink ghe answer to this question is b just trying to others