All High School Math Resources
Example Questions
Example Question #41 : Lines
Which of these lines is parallel to ?
Lines are parallel if they have the same slope. In standard form, is the slope.
For our given equation, the slope is . Only has the same slope.
Example Question #42 : Lines
Which of the following lines is parallel to ?
Two lines that are parallel have the same slope. The slope of is , so we want another line with a slope of . The only other line with a slope of is .
Example Question #3 : Parallel Lines
Which of these lines is parallel to ?
Lines are parallel if they have the same slope. In standard form, is the slope.
For our given equation, the slope is . Only has the same slope.
Example Question #43 : Lines
Which of the following lines will be parallel to ?
Two lines are parallel if they have the same slope. When a line is in standard form, the is the slope.
For the given line , the slope will be . Only one other line has a slope of :
Example Question #1 : Parallel Lines
Are the following lines parallel?
No
It cannot be determined from the information given
Yes
No
By definition, two lines are parallel if they have the same slope. Notice that since we are given the lines in the format, and our slope is given by , it is clear that the slopes are not the same in this case, and thus the lines are not parallel.
Example Question #4 : Parallel Lines
Which of the following lines is parallel to the line ?
Parallel lines have the same slope. In slope-intercept form, , is the slope.
Here the slope is ; thus, any line that is parallel to the line in question will also have a slope of .
Only one answer choice satisfies this requirement:
Note: the answer choice is incorrect. If put into form, the equation becomes . Therefore the slope is actually , not .
Example Question #1 : How To Find The Slope Of Parallel Lines
Which of the following lines would be parallel to the line described by the equation?
The way to determine parallel lines is to look at the slope. That means when you look at the equation in slope-intercept form, , you're looking at the .
In the given problem, the slope is . Parallel lines will have identical slopes; thus, any line that is parallel to the line described by the equation would ALSO have a slope of . Only one answer choice satisfies that requirement:
.
Example Question #1 : How To Find The Slope Of Parallel Lines
Which of the following lines would be parallel to ?
Two lines are parallel if they have the same slope. When looking at the standard line equation , the important thing is that the 's are the same. In this case, the given equation has a slope of . Only one answer choice also has a slope of .
Example Question #2 : How To Find The Slope Of Parallel Lines
What is the slope of the line that runs through points and ?
Use the slope formula (difference between 's over difference between 's) to find that the slope is .
Example Question #6 : Parallel Lines
A line that is parallel to will have what slope?
Two lines that are parallel have the same slope. The line given above is in slope-intercept form, , where represents the slope. Thus, the slope is . Therefore, any line that is parallel to this line will also have a slope of