Find the slope of the line given its graph.
-1/2
1/2
2
4
To find the slope of a line given its graph, we need to determine the change in y divided by the change in x.
For the first graph, we cannot determine the slope without more information.
For the second graph, it appears that the line goes up 1 unit for every 2 units along the x-axis. Therefore, the slope of the line is 1/2.
For the third graph, it appears that the line goes up 2 units for every 1 unit along the x-axis. Therefore, the slope of the line is 2.
For the fourth graph, it appears that the line goes up 4 units for every 1 unit along the x-axis. Therefore, the slope of the line is 4.
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. Looking at the options provided, it seems that each option represents a possible slope value. However, I cannot determine the slope of a line from just these values. Could you please provide more information or context?
To find the slope of a line given its graph, you need to determine the change in the y-coordinates divided by the change in the x-coordinates of any two points on the line.
Let's consider each given option separately:
- Option 1: -1/2
This means that for every change of 1 unit in the x-coordinate, the corresponding change in the y-coordinate is -1/2. So, for every increase in x by 1, y decreases by 1/2. Since the numerator (change in y) is negative and the denominator (change in x) is positive, the slope is negative.
- Option 2: 1/2
According to this option, for every increase of 1 unit in x, the corresponding change in y is 1/2. This suggests that as x increases by 1, y increases by 1/2. Because both the numerator and the denominator are positive, the slope is positive.
- Option 3: 2
This means that for every increase of 1 unit in x, the corresponding change in y is 2. So, as x increases by 1, y increases by 2. Since both the numerator and the denominator are positive, the slope is positive.
- Option 4: 4
According to this option, for every change in the x-coordinate, the corresponding change in the y-coordinate is 4. This implies that as x increases by 1, y increases by 4. As both the numerator and the denominator are positive, the slope is positive.
Hence, the slopes for the given options are:
- Option 1: -1/2
- Option 2: 1/2
- Option 3: 2
- Option 4: 4