Find the slope f it exists
x=-4
M=
If the y-term is absent, it means that the line is parallel to the y-axis, or the slope is indefinite.
Similarly, if the x-term is absent, the line is parallel to the x-axis, but the slope is defined and equal to zero.
The equation x = -4 represents a vertical line. The slope of a vertical line is undefined, as it does not have a change in y for any change in x. Therefore, the slope of the line x = -4 does not exist.
To find the slope of a line, we need two points on the line. Given that the equation of the line is x = -4, we can choose any y-value to find two points on the line.
For example, let's choose y = 0 and y = 1 for the two points.
Point 1: (-4, 0)
Point 2: (-4, 1)
Now, we can use the formula for slope, which is:
m = (y2 - y1) / (x2 - x1)
Substituting the values from our two points into the formula, we get:
m = (1 - 0) / (-4 - (-4))
m = 1 / 0
However, we notice that the denominator is zero, which is undefined. Therefore, the slope does not exist for the equation x = -4.