Find the slope of a line that is perpendicular to the line containing the points (–2, –1) and (2, –3).

can you tell me how to do it and show the answer

Thanks!

2 answers

the slope of the line joining the points is ∆y/∆x = (-3-(-1))/(2-(-2)) = -2/4 = -1/2

So, the slope of the perpendicular line is the negative reciprocal, or +2
First find the slope of the line using the formula y2-y1/x2-x1 and coordinates (-2,-1)and(2,-3)
you will get slope = -2/4 which is equal to -1/2.Slope of a line that is perpendicular to a given line is negative reciprocal.
So slope of the line 2