Slope-intercept form is written as.

There is only one answer choice in this form:

The slope-intercept form of a line is:, whereis the slope andis the y intercept.

Below are the steps to get the equation成斜截式。

First, we need to find the slope of the above line.

Given two points,, the slope can be calculated using the following formula:

Set:

Second, we note that the-intercept is the point.

Therefore, in the slope-intercept form of a line, we can setand:

There are two ways that you can find the y-intercept for an equation. You could substitutein for. This would give you:

Simplifying, you get:

However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for:

Just divide everything by:

Remember that the slope-intercept form gives you the intercept as the final constant. Hence, it isas well!

There are two ways that you can find the y-intercept for an equation. You could substitutein for. This would give you:

Simplifying, you get:

However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for. Indeed, this is very, very easy. Recall that the slope intercept form is:

This means that, as written, your equation obviously has. You don't even have to do all of the simplification!

In order to figure this out, you should use your slope-intercept formula. Remember that the y-intercept is the place whereis zero. Therefore, the pointgives you your y-intercept. It is. Now, to find the slope, recall the slope equation, namely:

For your points, this would be:

This is your slope.

Now, recall that the point-slope form of an equation is:

, whereis your slope andis your y-intercept

Thus, your equation will be:

In order to compute the slope of a line, there are several tools you can use. For this question, try to use the slope-intercept form of a line. Once you get the equation into this form, you basically can "read off" the slope right from the equation! Recall that the slope-intercept form of an equation is:

Now, looking at each of your options, you know that you can eliminate two immediately, as their slopesobviouslyare not:

The next is almost as easy:

When you solve for, your coefficient value foris definitelynotequal to:

Next,is not correct either. When you start to solve, you should notice thatwill always have a negative coefficient. This means that it certainly will not becomewhen you finish out the simplification.

Thus, the correct answer is:

Really, all you have to pay attention to is theterm. First, you will subtractfrom both sides:

Then, just divide by, and you will have!

In order to rewrite the equation in slope-intercept form, we will need to multiply the reciprocal of the coefficient in front of y.

Simplify both sides.

The answer is:

The slope-intercept form is:

Subtracton both sides.

Divide by negative six on both sides.

Simplify both sides.

The answer is:

Slope intercept form is.

Addon both sides.

Multiply by three on both sides.

The answer is: