find the slope of a line that is perpendicular to the line containing the points (-2,-1) and (2,3)
a.m= -2
b.m= 2
c.m= -1/2
d.m= -1
the slope of the line joining the points is 1, so . . .
To find the slope of a line that is perpendicular to another line, you need to use the concept of slopes.
First, find the slope of the given line containing the points (-2,-1) and (2,3). The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates, we have:
m = (3 - (-1)) / (2 - (-2))
m = (3 + 1) / (2 + 2)
m = 4 / 4
m = 1
So, the slope of the given line is 1.
To find the slope of a line perpendicular to this given line, you can use the property that the product of slopes of perpendicular lines is -1. Therefore, the slope of the perpendicular line is the negative reciprocal of the slope of the given line.
The negative reciprocal of 1 is -1/1, which simplifies to -1.
Therefore, the correct answer is:
d. m = -1