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GED Math Help » Algebra » Linear Algebra » Slope-Intercept Form

Example Question #1 : Linear Algebra Which of the following equations is written in slope-intercept form? Possible Answers:

Correct answer:

Explanation: Slope-intercept form is written as

.

There is only one answer choice in this form:

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Example Question #1 : Slope Intercept Form Rewrite the following equation in slope-intercept form.

Possible Answers:

Correct answer:

Explanation: The slope-intercept form of a line is:

, where

Below are the steps to get the equation

is the slope and is the y intercept. into slope-intercept form.

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Example Question #1 : Linear Algebra

Refer to the above red line. What is its equation in slope-intercept form? Possible Answers:

Correct answer:

Explanation: 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 set

and

:

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Example Question #2 : Linear Algebra What is the y-intercept of the line with the following equation:

Possible Answers:

Correct answer:

Explanation: There are two ways that you can find the y-intercept for an equation. You could substitute in 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 is

as well!

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Example Question #3 : Linear Algebra What is the y-intercept for the following equation:

Possible Answers:

Correct answer:

Explanation: There are two ways that you can find the y-intercept for an equation. You could substitute in 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!

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Example Question #4 : Linear Algebra What is the equation of the line between

and

?

Possible Answers:

Correct answer:

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

gives you your y-

For your points, this would be:

This is your slope. Now, recall that the point-slope form of an equation is: , where

is your slope and is your y-intercept

Thus, your equation will be:

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Example Question #5 : Linear Algebra Which of the following equations has a slope of ? Possible Answers:

Correct answer:

Explanation: 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 slopes obviously are not :

The next is almost as easy:

When you solve for , your coefficient value for

is definitely not equal to :

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

Really, all you have to pay attention to is the term. First, you will subtract

Then, just divide by , and you will have

from both sides:

!

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Example Question #6 : Linear Algebra Rewrite the equation in slope-intercept form: Possible Answers:

Correct answer:

Explanation: 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: Report an Error

Example Question #7 : Linear Algebra Write the equation in slope-intercept form: Possible Answers:

Correct answer:

Explanation: The slope-intercept form is: Subtract

on both sides.

Divide by negative six on both sides.

Simplify both sides. The answer is: Report an Error

Example Question #8 : Linear Algebra Write the equation in slope-intercept form: Possible Answers:

Correct answer:

Explanation: Slope intercept form is Add

.

on both sides.

Multiply by three on both sides.

The answer is: Report an Error ← Previous 1 2 3 4 5 Next Õ Copyright Notice

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