Question

Find an equation of the line passing through the given points. Use function notation to write the equation. (4,-22) and (-8,42)

Answer 1

Use y = mx + b

42 = -8m + b
-22 = 4m + b

b = 42 + 8m
b = -22 - 4m

b = b

8m + 42 = -22 - 4m


8m + 4m = -22 - 42
12m = -64
m = -64/12
m = -16/3

b = 42 + 8m
b = 42 + 8(-16/3)
b = 42 -128/3
b = 136/3 - 128/3
b = (136 - 128)/3
b = 8/3

y = -16/3(x) + 8/3

Change y to f(x):

f(x) = -16/3(x) + 8/3

Answer 2

Thanks