Q: Do Perpendicular lines have opposite reciprocal slopes?

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I suppose you mean what is an opposite reciprocal? At any rate, we should start there. The opposite reciprocal is -(1/x) so let's take the number 5. The opposite reciprocal would be -1/5. If you want two lines to be perpendicular you must take the original slope of the first line and change it to its opposite reciprocal. For example: y=5x A line perpendicular to this line would be y=-1/5x.

Slopes of line perpendicular to the x-axis are undefined.

2

6

-1

Related questions

Negative reciprocal slopes always represent perpendicular lines.

When two lines are parallel, they have the same slope. For example:y=5x-3 andy=5x+9These lines are parallel, because they have the same slope.When two lines are perpendicular they have negative reciprocal slopes. For example:y=2x-6 andy=-1/2x+2These lines are parallel, because they have negative or opposite reciprocal slopes.

negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel

one slope is the negative reciprocal of the other

In a graph, you first must find the slopes of both lines using the rise over run method or by using the x2-x1 over y2-y1 method known as slope formula. The lines will be perpendicular if the slope of one line is opposite reciprocal of the other. the opposite reciprocal of 1/2 is -2

Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.

If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.

No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.

No, the slope will be -1

It is probably referring to #5 of the work. Perpendicular lines and negative and reciprocal slopes. EX: The slope is 2, the perpendicular form is -1/2

Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Perpendicular lines intersect each other.

The relationship between perpendicular lines lies in there slopes. The slope of one line is the opposite reciprocal of the other. Written mathematically, the lines y=m*x +b and y =(-1/m)*x +c are perpendicular lines (note the y-intercepts do not need to be equal or even related to each other).