What is the slope of a line that is perpendicular to a line with a slope of -½?
The slope of a line that is perpendicular to a line with a slope of -1/2 is the negative reciprocal of -1/2.
The negative reciprocal of -1/2 is 2, therefore the slope of the perpendicular line is 2.
To find the slope of a line that is perpendicular to a given line, you can use the concept that the slopes of perpendicular lines are negative reciprocals of each other.
Let's start with the given slope for the line, which is -½. The negative reciprocal of -½ is the negative of the reciprocal of -½. The reciprocal of -½ is -1/(-½), which simplifies to -1/(1/2), or -1 × 2/1. This gives us the slope of the perpendicular line, which is -2.
Therefore, the slope of a line that is perpendicular to a line with a slope of -½ is -2.
To find the slope of a line that is perpendicular to a given line, you need to determine the negative reciprocal of the given line's slope.
The negative reciprocal of a number is equal to its negative value divided by its reciprocal. The reciprocal of a number is obtained by flipping it upside down.
Given that the slope of the given line is -½, we can find the negative reciprocal by flipping it upside down and changing its sign.
So, the negative reciprocal of -½ is 2/1 or simply 2.
Therefore, the slope of a line that is perpendicular to a line with a slope of -½ is 2.