The slope shown in the graph represents:
-2
2
3
4
5
C. undefined slope.
a. negative slope.
b. zero slope.
d. positive slope
c. undefined slope.
To determine the slope of a line on a graph, we need to find the change in the y-coordinates divided by the change in the x-coordinates. Looking at the graph, we can observe that the line is vertical, which means the change in x is zero. Since division by zero is undefined, the slope of this line is undefined. Therefore, the correct answer is C. undefined slope.
To determine the slope shown in the graph, we need to analyze the line. The slope of a line is a measure of how steep the line is, and it is calculated by finding the change in the y-coordinate divided by the change in the x-coordinate between any two points on the line.
To find the slope, we can select two points on the line and use their coordinates. Let's choose two points on the line in the graph.
Looking at the options provided, the options are:
a. negative slope
b. zero slope
c. undefined slope
d. positive slope
To determine the slope, let's select two points on the line. From the graph, we can see that the line is vertical, which means the x-coordinate remains the same for all points on the line.
Let's choose two points:
Point 1: (x1, y1) = (1, -2)
Point 2: (x2, y2) = (1, 3)
To find the slope, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the values:
slope = (3 - (-2)) / (1 - 1)
slope = 5 / 0
When the denominator of the slope equation is 0, the slope is undefined. Therefore, the correct answer is c. undefined slope.