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Yes the product will be negative, in fact the product will equal negative one (-1).
Think about this. Suppose you have a line y = mx + b, and you want to rotate it 90° counterclockwise. This new line would be like in a coordinate system (x',y') [the x' and y' are called x-prime and y-prime, and differentiate between the original and new coordinate system], where the x' axis runs along the y axis in the positive y direction, and the y' axis runs along the x axis in the negative x direction. So the new line y' = mx' + b with x' = y and y' = -x, is: -x = my + b. Solving for y in the new equation gives y = (-1/m)x - (b/m). So the new slope (-1/m) times the original slope (m) equals (-m/m) = -1, as long as the original slope was not zero.
What else can I help you with?
What is the product of the slopes of perpendicular lines?
It is always -1.
What pair of slopes could represent perpendicular lines?
Negative reciprocal slopes always represent perpendicular lines.
If the product of the slopes of two lines equals negative 1 then the lines?
Are perpendicular.
How can you know when a line is perpendicular?
They are perpendicular if the product of their slopes is -1.
When is the product of the slopes of two perpendicular lines not equal to -1?
When the perpendicular lines are horizontal and vertical.
If two lines are 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.If the lines are perpendicular, their slopes are negative reciprocals.
What is the product of the slopes of perpendicular lines?
It is always -1.
The product of the slopes of perpendicular lines is always?
-1
What pair of slopes could represent perpendicular lines?
Negative reciprocal slopes always represent perpendicular lines.
If the product of the slopes of two lines equals negative 1 then the lines?
Are perpendicular.
Would perpendicular lines have negative or positive slopes?
I believe they have Negative Slopes as stated by my Geometry Book. "Perpendicular Lines Have Slopes Which Are Negative ___"
In a coordinate plane two nonvertical lines are WHAT if and only if the product of their slopes is negative one?
Perpendicular
Two numbers are if their product is -1?
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.
How can you know when a line is perpendicular?
They are perpendicular if the product of their slopes is -1.
Definition of slopes of perpendicular lines?
One is the negative reciprocal of the other. That is, the product of the two slopes is -1. UNLESS one of them is zero, in which case the slope of the other is infinite.
If two lines have slopes that are negative reciprocals of each other then they are if they have slopes that are the same then they are?
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
Can two lines both have negative slopes and still be perpendicular?
Yes, as long as the negative slopes are both equal.
