Find k so that the line through (4,−2) and (k,2) is parallel to 8x+ 11y= 22.

9514 1404 393

  k = -1.5

Step-by-step explanation:

The parallel line will have a new constant:

  8x +11y = c = 8(4) +11(-2) = 32 -22 = 10

Then the value of k will satisfy ...

  8(k) +11(2) = 10

  8k = -12 . . . . . . . . subtract 22

  k = -12/8 = -1..5 . . . . . divide by 8

The parallel line will pass through (-1.5, 2). That is, k = -1.5.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13