1. Verify the property a x (b+c) =(a x b)+(a x c) by taking: 1) a = (1/4), b = 0, c = (-5/6)

We start by replacing a=1/4, b=0 and c=-5/6 on both sides of a x (b + c) = (a×b) + (a+c) and compare results

So in 1/4 x (0 + (-5/6)) we solve first the parenthesis (0 + (-5/6))=(-5/6)

Now we solve the product 1/4×(-5/6) = -5/24

Now we replace in the other side

(1/4 × 0) + (1/4 × (-5/6))

First parenthesis: (0) + (-5/24) = -5/24

We conclude that both sides are equal to -5/24! So the property verifies

(Btw this is called distributive property)

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )