Find the slope of the line that passes through each pair of points (-3,-2),(-3,2)
since both points have the same x-value, it is a vertical line.
The slope (4/0) is undefined.
To find the slope of a line passing through two points, we can use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Let's label our points as follows:
Point 1: (-3,-2) with coordinates (x1, y1)
Point 2: (-3,2) with coordinates (x2, y2)
Substituting the values into the formula, we get:
slope = (2 - (-2)) / (-3 - (-3))
Using basic arithmetic, we find:
slope = 4 / 0
Since we have a denominator of 0, the slope is undefined (or infinite). This means that the line passing through the given points is a vertical line.
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
First, identify the coordinates of the two given points: (-3, -2) and (-3, 2).
Let's designate the first point as (x1, y1) and the second point as (x2, y2):
For the first point:
x1 = -3
y1 = -2
For the second point:
x2 = -3
y2 = 2
Now, we can substitute the values into the slope formula:
slope = (y2 - y1) / (x2 - x1)
= (2 - (-2)) / (-3 - (-3))
= 4 / 0
Since the denominator is zero, we have an undefined slope.
This means the line passing through the points (-3, -2) and (-3, 2) is a vertical line.