(-2,k) (2k,2) m= -0.25 Find the value of k so the line through the given points has given slope.

Question

Chapter 2.2 Find slope and rate of change Challenge question: Find the value of k so that the line through the given points has the given slope. *above* PLEASE HELP! Long ago, God said, "Let there be light." and so there was. And then Satan said, not so long ago, "Let there be letters in math." and so there was.

Answer 1

sorta points: (-2,k) & (2k, 2), get slope=-0.25 . . . deltax=2k+2, deltay=2-k, . . . slope=deltay/deltax=(2-k) / (2k+2)=-0.25 . . . 2-k=-0.25*(2K+2), or 8-4k=-(2k+2)=-k-2 . . . -4k +k=-8-2 . . . -3k=10 . . . k=-10/3