The equation of a line is y 4x+3 2 what is the slope of a line that is perpendicular to this line

What is the slope of any line perpendicular to 2y = 4x +3 ?

Possible Answers:

Explanation:

First, we must solve the equation for y to determine the slope:  y = 2x + 3/2

By looking at the coefficient in front of x, we know that the slope of this line has a value of 2. To fine the slope of any line perpendicular to this one, we take the negative reciprocal of it:

slope = m , perpendicular slope = – 1/m

slope = 2 , perpendicular slope = – 1/2

What line is perpendicular to 2x + y = 3 at (1,1)? 

Possible Answers:

Correct answer:

x – 2y = -1

Explanation:

Find the slope of the given line.  The perpendicular slope will be the opposite reciprocal of the original slope.  Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b.  Convert back to standard form of an equation:  ax + by =  c.

What is the slope of the line perpendicular to the line given by the equation

6x – 9y +14 = 0

Possible Answers:

Explanation:

First rearrange the equation so that it is in slope-intercept form, resulting in y=2/3 x + 14/9. The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.

What is the slope of the line perpendicular to the line represented by the equation y = -2x+3?

Possible Answers:

Explanation:

Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.

Find the slope of a line perpendicular to the line y = –3x – 4.

Possible Answers:

Explanation:

First we must find the slope of the given line. The slope of y = –3x – 4 is –3. The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.

What is the slope of a line perpendicular to the following:

Possible Answers:

Correct answer:

Explanation:

The question puts the line in point-slope form y – y1 = m(x – x1), where m is the slope. Therefore, the slope of the original line is 1/2.  A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line. 

A line is defined by the following equation:

What is the slope of a line that is perpendicular to the line above?

Possible Answers:

Correct answer:

Explanation:

The equation of a line is 

Rearrange the equation to match this:

For the perpendicular line, the slope is the negative reciprocal;

therefore 

Which of the following lines is perpendicular to the line passing through the points 

Possible Answers:

Correct answer:

Explanation:

First, you must find the slope of the line given to you. Remember that the slope is calculated: 

Thus, for our data, this is:

Now, the perpendicular slope to this is opposite and reciprocal. Hence, it must be 

To know this, solve the equation for the format 

Next, divide everything by 

You really just need to pay attention to the 

What is the slope of a line that is perpendicular to the equation given by:

Possible Answers:

Correct answer:

Explanation:

Perependicular lines have slopes whose product is 

What is the slope of a line perpendicular to line 

Possible Answers:

Correct answer:

Explanation:

To find the slope of a perpendicular line, we take the reciprocal 

The easy way to do this is to simply take the fraction (a whole slope can be made into a fraction by placing 

However, if we attempt to follow this procedure, we get:

Thus, our perpendicular line (which is a vertical line) has an undefined slope.

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

Yvan
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Brigham Young University-Provo, Bachelor of Science, Mathematics Teacher Education.

Sam
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University of Essex, Bachelor of Science, Telecommunications Technology. University of Hertfordshire, Master of Science, Comp...

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