Write an equation in slope-intercept form that is parallel to the line 3x + 2y = 1 and passes through the point (1, 0). a)
y = 3/ 2 x + 2 b) y = − 2 /3 x + 1 c) y = − 2/3 x - 1 d) y = − 3/2 x + 3 /2

D)y = − 3/2 x + 3 /2

Step-by-step explanation:

3x+2y =1

We need to get this in slope intercept form (solve for y)

Subtract 3x from each side

3x-3x +2y = -3x+1

2y = -3x+1

Divide by 2

2y/2 = -3/2x+1/2

The slope is -3/2

We want a line that is parallel so the slope is the same

m = -3/2

We an use point slope form since we have the slope and a point

y - y1 = m(x-x2)

y - 0 = -3/2(x-1)

Distribute

y = -3/2x +3/2

180%

Step-by-step explanation:

There is no firm rule that says an essay needs to have a set number of paragraphs, but an essay must be a minimum of three paragraphs. There are a lot of people who say an essay should be five paragraphs, but it’s an extremely limiting rule, and unless you’ve been instructed to write a five paragraph essay, there’s no reason to stick to it.

As a rule, you’ll write your essay in three main parts. First, you’ll introduce your topic to your reader. Next, you will have body text in which you discuss the topic in more detail, and finally, you’ll have a conclusion that tells your reader what you were able to see after looking into the facts or thinking through the topic.

In its simplest form, an essay can consist of three paragraphs with one paragraph being devoted to each section. Proponents of the five paragraph essay say that the body text should consist of three paragraphs, but in reality, it’s fine to write more or fewer paragraphs in this section.

Guessing How Many Paragraphs Before You Begin

This is a rule of thumb, which means it won’t always work quite that way, but it’s handy all the same. In academic work, your paragraphs are likely to be a bit longer than most of the ones you see in this blog post. On average, there are usually 100 to 200 words in a paragraph. So if you’d like a guesstimate, you can assume that a 1,000-word essay will have between five and ten paragraphs.

What Points Do You Have to Cover?

Another, less limiting and more accurate way to work out how many paragraphs you need to cover your topic is to look at the main points you have to cover in the body text. A paragraph contains all the ideas that support or explain a single concept.

When you are planning your essay, you will think of or research the main elements that are needed in the body text. It would be safe to assume you need at least one paragraph for each of these. Of course, if there is a lot of information to cover in order to explore each area, you may need more.