Find the slope of the line that passes through each pair of points.
(-3,-2), (-3,2)
undefined
y2-y1/x2-x1 = 2-(-2)/-3-(-3) = 4/0 = und
x is the same for both points
graph that, vertical line
slope undefined
Wrong
To find the slope of a line passing through two points, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's find the slope of the line passing through the points (-3, -2) and (-3, 2).
The x-coordinate of both points is the same at -3, which means there is no change in the x-coordinate.
To find the change in y-coordinates, subtract the y-coordinate of the first point from the y-coordinate of the second point:
(2) - (-2) = 2 + 2 = 4
So, the change in y-coordinates is 4.
Since there is no change in the x-coordinate, the change in x-coordinates is 0.
Using the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
= 4 / 0
It's important to note that when the change in x-coordinates is 0, the slope is undefined.
Therefore, the slope of the line passing through the points (-3, -2) and (-3, 2) is undefined.