Review of the Coordinate Plane & Slope Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Find the slope of the line given its graph. (1 point) Responses −5 negative 5 −1 negative 1 1 1 −56
one dot is at -3 and the other one is at -4
To find the slope of a line given its graph, we need to determine the change in the y-coordinates divided by the change in the x-coordinates of two points on the line. In this case, the two points we can use are (-3, -4) and (-4, -1).
The change in the y-coordinates is -1 - (-4) = 3, and the change in the x-coordinates is -4 - (-3) = -1.
Therefore, the slope of the line given its graph is 3/-1, which simplifies to -3.
The correct response is "negative 3".
To find the slope of a line, we need to use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Looking at the given graph, we notice that one dot is at x = -3 and the other dot is at x = -4.
To find the change in x-coordinates, we subtract the x-coordinates of the two dots:
change in x-coordinates = -4 - (-3)
change in x-coordinates = -4 + 3
change in x-coordinates = -1
Next, we need to look at the y-coordinates of the two dots. However, since the y-coordinates are not provided, we cannot determine the slope of the line without additional information.
To find the slope of the line given its graph, you need to determine the change in the y-coordinates over the change in the x-coordinates between two points on the line.
In this case, you mentioned two points - one at x = -3 and another at x = -4. Since you have the x-coordinates, you need to find the corresponding y-coordinates of these points.
Based on the image provided, we might not be able to access the full context of the graph, which could affect the accuracy of the answer. However, we can use the given information to proceed.
Let's assume the y-coordinate of the first point (at x = -3) is y1, and the y-coordinate of the second point (at x = -4) is y2.
Next, calculate the difference between the y-coordinates (y2 - y1) and the difference between the x-coordinates (x2 - x1).
Using the values provided:
x1 = -3
x2 = -4
Now we'll look for any information or coordinates on the y-axis to find y1 and y2. If we don't have any information, it's not possible to determine the slope accurately.
If we have access to the graph or additional information, please provide it, and we can then calculate the slope using the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
The answer choices provided can't be accurately determined based on the information given.