Answer:
B. -3 1/2y + 2
Step-by-step explanation:
Our expression is:
.
Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

Now, we have:

We want to combine like terms, which means combining all the terms with y in them:

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:
-3 1/2y + 2
The answer is thus B.
<em>~ an aesthetics lover</em>
The type of reasoning that Vivian used into solving the
equation is the deductive. This type of reasoning is able to describe on how
the equation is done and this could be seen in the given scenario above as she
was able to show the steps in obtaining the correct answer.
Answer: y-4=-3(x+4) or y=-3x-8
Step-by-step explanation:
To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).
y-4=-3(x-(-4)) [multiply]
y-4=-3(x+4)
Another equation could be slope-intercept form. It is y=mx+b.
y-4=-3(x+4) [distribute]
y-4=-3x-12 [add both sides by 4]
y=-3x-8
Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).