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Q: What is the slope of a line that is perpendicular to x equals -4?

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If the line has a slope of 2, then the perpendicular line has a slope of -1/2. The slope of a perpendicular line is the negative reciprocal. Another example would be if the slope of a line is -1/4, then the slope of the perpendicular is 4.

3x+y = 4 y = -3x+4 Perpendicular slope: 1/3

-- The slope of the graph of [ 4x + y = 2 ] is -4.-- The slopes of perpendicular lines are negative reciprocals.-- The slope of any line perpendicular to [ 4x + y = 2 ] is 1/4 .

6

- 1/3

11

Slope of perpendicular line is the negative reciprocal. So it is -1/4

If two nonvertical lines are perpendicular, then the product of their slope is -1.An equivalent way of stating this relationship is to say that one line is perpendicular to another line if its slope is the negative reciprocal of the slope of the other. For example, if a line has slope 3, any line having slope - 1/3 is perpendicular to it. Similarly, if a line has slope - 4/5, any line having the slope 5/4 is perpendicular to it.

4y= -3x + 12 y = -3/4x + 3 The perpendicular slope is 4/3

3/4

First calculate the slope of the line itself:18y = 3x + 4y = (1/6)x + (4/18)This line is in slope-intercept form; the slope in this case is 1/6.For the slope of the perpendicular line, take the negative reciprocal, -1 / (1/6), which is equal to -6.

Slope: (2-4)/(0--3) = -2/3 Perpendicular slope: 3/2

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