Find the slope of the line given its graph.
(1 point)
Responses
1/2
Start Fraction 1 over 2 End Fraction
4
4
−1/2
negative Start Fraction 1 over 2 End Fraction
2
It is not possible to determine the slope without the graph. Please provide the graph.
To find the slope of a line given its graph, we need to identify two points on the line. The slope is then calculated as the change in y divided by the change in x between those two points.
Let's use the formula to find the slope of the line. Please provide two points on the line, either their coordinates or specific locations on the graph.
To find the slope of a line given its graph, you can use the following steps:
Step 1: Identify two distinct points on the line. Let's call them (x₁, y₁) and (x₂, y₂). Ensure that these points have different x-coordinates.
Step 2: Calculate the difference in y-coordinates (vertical distance) between the two points: Δy = y₂ - y₁.
Step 3: Calculate the difference in x-coordinates (horizontal distance) between the two points: Δx = x₂ - x₁.
Step 4: Calculate the slope using the formula: slope = Δy / Δx.
Now, let's apply these steps to the given options and find the slope:
1) Option 1/2: This means the slope is 1/2 or 0.5. To confirm, we would need to find two points on the line and calculate the slope using the formula.
2) Option 4: This means the slope is 4. However, without specific points, we cannot determine if this is correct. The slope of a line is not always an integer.
3) Option -1/2: This means the slope is -1/2 or -0.5. To confirm, we would need to find two points on the line and calculate the slope using the formula.
4) Option 2: This means the slope is 2. Similar to the previous option, without specific points, we cannot determine if this is correct. The slope of a line is not always an integer.
In summary, only options 1/2 and -1/2 can be evaluated as potential slopes without further information.