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
these are the options
Responses −5 negative 5 −1 negative 1 1 1 −56
Based on the given graph, it is clear that the slope of the line is negative. To determine the exact value of the slope, we need to calculate the rise and the run.
From the given graph, we can see that the line passes through two points: one point at -3 on the x-axis and another point at -4 on the y-axis.
To calculate the rise, we subtract the y-coordinate of the second point from the y-coordinate of the first point:
-4 - (-3) = -4 + 3 = -1
To calculate the run, we subtract the x-coordinate of the second point from the x-coordinate of the first point:
-3 - (-4) = -3 + 4 = 1
Therefore, the rise is -1 and the run is 1.
The slope is calculated by dividing the rise by the run:
slope = rise/run = -1/1 = -1
Hence, the correct response for the slope of the line is: negative 1.
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 between two points on the line.
In this case, the graph of the line has two dots, one located at (-3, -4) and the other at (-4, -5).
To calculate the slope, we can use the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the coordinates (-3, -4) and (-4, -5), we have:
slope = (-5 - (-4)) / (-4 - (-3))
slope = (-5 + 4) / (-4 + 3)
slope = -1 / -1
slope = 1
Therefore, the slope of the line given its graph is 1.
To find the slope of a line given its graph, we need to determine the change in y-coordinates divided by the change in x-coordinates between two points on the line.
In this case, the two points on the line are given as (-3, _) and (-4, _). The missing y-coordinates are not provided, but we can still determine the slope by looking at the change in x-coordinates.
The change in x-coordinates is -4 - (-3) = -4 + 3 = -1.
Since we have a change of -1 in x-coordinates, the slope of the line is also -1.
Therefore, the correct response is "negative 1".