Find the slope of the line containing the given pairs of points. If the line is undefined, state so. Please show all of your work. (-5, -2) and (-7, -2)
slope = (y1-y2)/(x1-x2)
let the first point be x1,y1, then
slope= (-2-(-2))/(-5-(-2))=0/-3=0
(x1,y1)(x2,y2)
-2-(-2)/-7-(-5)
= 0/-2
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the given points are (-5, -2) and (-7, -2).
Substituting these values into the formula, we have:
m = (-2 - (-2)) / (-7 - (-5)).
Simplifying further:
m = 0 / (-7 + 5)
m = 0 / -2
m = 0.
Therefore, the slope of the line passing through the given points is 0.