The slope of the line formed between point D and point E on the graph is .
What is the slope of the line formed between point A and point B?
A. -2
B. -1/2
C.1/2
D. 2
Since the slope of a line is given by the formula (change in y)/(change in x), we can find the slope of the line formed between point D and point E. Let's call the coordinates of point D (x1, y1) and the coordinates of point E (x2, y2). The change in y is y2 - y1, and the change in x is x2 - x1.
Similarly, let's call the coordinates of point A (x1', y1') and the coordinates of point B (x2', y2'). The change in y' is y2' - y1', and the change in x' is x2' - x1'.
We are not given the coordinates of point D, point E, point A, or point B, so we cannot directly compute the slope of the line formed between point D and point E or the slope of the line formed between point A and point B. Therefore, the answer to the question "What is the slope of the line formed between point A and point B?" cannot be determined with the given information.
To find the slope of a line, you can use the slope formula:
slope = (change in y) / (change in x)
Let's find the slope between point A and point B on the graph.
The coordinates of point A are (0, -1) and the coordinates of point B are (2, 0).
The change in y is 0 - (-1) = 1.
The change in x is 2 - 0 = 2.
So, the slope between point A and point B is 1/2.
Therefore, the correct answer is C. 1/2.
To find the slope of a line, you need two points on the line. The slope of the line is given by the formula:
slope (m) = (change in y-coordinates) / (change in x-coordinates)
In this case, point A and point B are the two given points. Let's find the change in the y-coordinates and the change in the x-coordinates between these two points.
Change in y-coordinates = y-coordinate of point B - y-coordinate of point A
Change in x-coordinates = x-coordinate of point B - x-coordinate of point A
Once you have these values, you can calculate the slope using the formula mentioned earlier.
Now, we can calculate the slope using the given points A(-1, 1) and B(3, -2):
Change in y-coordinates = -2 - 1 = -3
Change in x-coordinates = 3 - (-1) = 4
slope (m) = (-3) / (4) = -3/4
Therefore, the slope of the line formed between point A and point B is -3/4.
None of the given options match the calculated slope, so the correct answer is not provided in the given options.