answer: the value of b is 24 + 3t / (4- t ) = b
solution:
step 1 : find the slope using the formula below with the c (t, 3) and d(4, -3)
m = y2-y1 / x2 - x1
m = -3 -3 / 4-t
m = -6/4-t
to find the value of b use the equation given in the question
note : use any of the pair given c or d in the equation to find the value of b i will be using d ( 4, -3)
y = mx+ b
3 = (-6/4-t)(4) + b don't forget to take the lcm
b = (36 - 3 t ) / ( 4 - t )