All High School Math Resources
Example Questions
Example Question #1381 : High School Math
Which of the following is perpendicular to the line described by
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is , this means that the slope of its perpendicular line would be .
The answer
is the only equation listed that has a slope of .
Example Question #2 : How To Find The Slope Of A Perpendicular Line
Which of the following gives the slope of a line that is perpendicular to ?
Recall that the slopes of perpendicular lines are opposite reciprocals of one another. As a result, we are looking for the opposite reciprocal of . Thus, we can get that the opposite reciprocal is .
Example Question #41 : Lines
Find the slope of the line perpendicular to .
Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting from both sides of the equation:
The slope of this line is .
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by :
Example Question #42 : Lines
What is the slope of the line perpendicular to ?
In standard form, is the slope.
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is . Therefore, the slope of the perpendicular line is .
Example Question #43 : Lines
Find the slope of this line:
Isolate for so that the equation now reads
The slope is .
Example Question #44 : Lines
Which of the following are perpendicular to the line with the formula ?
I.
II.
III.
II
III
I and III
I
II and III
I and III
The slope of a perpendicular line is equal to the negative reciprocal of the original line. This means that the slope of our perpendicular line must be 3. We can also note that is also equal to 3, so both of these slopes are correct. The y-intercept does not matter, as the slope is the only thing that determines the slant of the line. Therefore, numerals I and III are both correct.
Example Question #45 : Lines
Which of the following lines is perpendicular to ?
In order for two lines to be perpendicular to each other, their slopes must be opposites and reciprocals of each other, meaning the fraction must be flipped upside down and the signs must be changed. In this situation, the original equation had a slope of , so the perpendicular slope must be .
Example Question #46 : Coordinate Geometry
Which of the following lines will be perpendicular to ?
Two lines are perpendicular if they have opposite reciprocal slopes. When a line is in standard form, the is the slope. A perpendicular line will have a slope of .
The slope of our given line is . Therefore we want a slope of . The only line with the correct slope is .
Example Question #46 : 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 #47 : 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 .
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