All GED Math Resources
Example Questions
Example Question #1 :Slope Intercept Form
Which of the following equations is written in slope-intercept form?
Slope-intercept form is written as.
There is only one answer choice in this form:
Example Question #1 :Slope Intercept Form
Rewrite the following equation in slope-intercept 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。
Example Question #1 :Slope Intercept Form
Refer to the above red line. What is its equation in slope-intercept form?
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:
Example Question #1 :Slope Intercept Form
What is the y-intercept of the line with the following equation:
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!
Example Question #5 :Slope Intercept Form
What is the y-intercept for the following equation:
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!
Example Question #6 :Slope Intercept Form
What is the equation of the line betweenand?
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:
Example Question #1 :Linear Algebra
Which of the following equations has a slope of?
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!
Example Question #1 :Slope Intercept Form
Rewrite the equation in slope-intercept form:
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:
Example Question #2 :Slope Intercept Form
Write the equation in slope-intercept form:
The slope-intercept form is:
Subtracton both sides.
Divide by negative six on both sides.
Simplify both sides.
The answer is:
Example Question #10 :Slope Intercept Form
Write the equation in slope-intercept form:
Slope intercept form is.
Addon both sides.
Multiply by three on both sides.
The answer is:
Certified Tutor
Certified Tutor