Determine whether the slope of the given line in (a)-(d) is positive, negative, zero, or undefined.
(a)
x
y
(b)
x
y
(c)
x
y
(d)
x
y
(a) The slope is undefined in this case because the line is vertical.
(b) The slope is zero in this case because the line is horizontal.
(c) The slope is positive in this case because the line is increasing from left to right.
(d) The slope is negative in this case because the line is decreasing from left to right.
To determine whether the slope of a given line is positive, negative, zero, or undefined, we need to look at the values of the coordinates (x, y) for the line.
(a) Since only the x-coordinate is given, and there is no y-coordinate, there are no two points to calculate the slope. Therefore, the slope is undefined.
(b) Since only the x-coordinate is given, and there is no y-coordinate, there are no two points to calculate the slope. Therefore, the slope is undefined.
(c) Similarly, since only the x-coordinate is given, and there is no y-coordinate, there are no two points to calculate the slope. Therefore, the slope is undefined.
(d) Once again, since only the x-coordinate is given, and there is no y-coordinate, there are no two points to calculate the slope. Therefore, the slope is undefined.
Therefore, the slope of all the given lines in (a)-(d) is undefined.
To determine whether the slope of a line is positive, negative, zero, or undefined, you need to look at the coordinates of two points on the line. Let's denote the first point as (x1, y1) and the second point as (x2, y2).
(a) In this case, the coordinates provided are:
x
y
This is not enough information to determine the slope of the line. We need specific values for x and y. Do you have any specific values for x and y?
(b) Similarly, we need specific values for x and y in order to determine the slope of the line. Could you provide the values?
(c) and (d) Please provide specific values for x and y in order to determine the slope.