Question

Please help me with the last three problems!! 43, 44 and 45! Giving brainiest!

Answer 1

Answer: (43) 16

              (44) y = -(9/4)x = 6

             (45) parallel:  y = 2x - 4

         perpendicular:  y = -(1/2)x - 5/2

Step-by-step explanation:

43)      f(x) = (1/3)x + 8

        f(-12) = (1/3)(-12) + 8

                 = -4 + 8

                 = 4

      3f(-12) = 3(4)

                = 12

3f(-12) + 4 = 12 + 4

                = 16  

44) slope (m) = $\dfrac{-3-(-12)}{4-8}=\dfrac{9}{-4}$

$y-y_1=m(x-x_1)\\\\\\y-(-3)=-\dfrac{9}{4}(x-4)\\\\\\y+3=-\dfrac{9}{4}x+9\\\\\\y=-\dfrac{9}{4}x+6$

45) parallel is same slope   →   m = 2

    perpendicular is opposite reciprocal slope   →   $m=-\dfrac{1}{2}$

parallel

$y-y_1=m(x-x_1)\\\\\\y-(-2)=2(x-1)\\\\\\y+2=2x-2\\\\\\y=2x-4$

perpendicular

$y-y_1=m(x-x_1)\\\\\\y-(-2)=-\dfrac{1}{2}(x-1)\\\\\\y+3=-\dfrac{1}{2}x+\dfrac{1}{2}\\\\\\y=-\dfrac{1}{2}x-\dfrac{5}{2}$