if line q has a slope of -2, what is the slope of any line perpendicular to q?
a line perpendicular has the slope of negative reciprocal. The negative recoprocal of -2 is 1/2
To determine the slope of a line perpendicular to line q, you need to know a property of perpendicular lines. The slopes of two perpendicular lines are negative reciprocals of each other.
The negative reciprocal of a number is found by taking its reciprocal (flipping it upside down) and then changing the sign.
In this case, line q has a slope of -2. To find the slope of a line perpendicular to q, we need to calculate the negative reciprocal of -2.
First, find the reciprocal of -2 by flipping it upside down: -2 becomes -1/2.
Next, change the sign of -1/2 to find the negative reciprocal: -1/2 becomes +1/2.
Therefore, the slope of any line perpendicular to line q is 1/2.