Find the slope of the line that passes through the given points. (−7, 1.3) and (−7, 14.2)
Note that both points have the same x-value.
So, this is a vertical line.
The slope is undefined.
Trick question.
Ahhh. I get it now. Thanks!
To find the slope of the line passing through the points (-7, 1.3) and (-7, 14.2), we will use the formula:
slope = (change in y) / (change in x)
First, let's identify the change in y:
change in y = 14.2 - 1.3
= 12.9
Next, let's find the change in x:
change in x = -7 - (-7)
= -7 + 7
= 0
Now, we can substitute the values into the slope formula:
slope = (change in y) / (change in x)
= 12.9 / 0
Note that division by 0 is undefined in mathematics. Since the change in x is 0, the line passing through the given points is a vertical line. A vertical line does not have a slope.
Therefore, the slope of the line passing through the points (-7, 1.3) and (-7, 14.2) is undefined.
To find the slope of the line passing through the given points (-7, 1.3) and (-7, 14.2), we can use the formula for slope:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the x-coordinates of both points are the same (-7). Therefore, there is no change in the x-coordinate, and the denominator of the slope formula will be zero, indicating that the slope is undefined.
This means that the line passing through these two points is vertical, and its slope cannot be determined.