here are the questions
Find the slope of the line given its graph.
Responses
1/2
Start Fraction 1 over 2 End Fraction
4
4
−1/2
negative Start Fraction 1 over 2 End Fraction
2
The slope of the line is:
1/2
To find the slope of a line given its graph, you can use the formula: slope = change in y / change in x. You need two points on the line to calculate the slope.
1. To find the slope of the line, let's identify two points on the graph.
2. Measure the change in y-coordinate and change in x-coordinate between these two points.
3. Divide the change in y-coordinate by the change in x-coordinate to find the slope.
4. Express the slope as a fraction or a decimal, depending on the question.
Based on the given responses:
1. The slope of the line is 1/2 or "Start Fraction 1 over 2 End Fraction."
2. The slope of the line is 4.
3. The slope of the line is -1/2 or "negative Start Fraction 1 over 2 End Fraction."
4. The slope of the line is 2.
To find the slope of a line given its graph, you can use the slope formula. The formula for finding the slope, denoted as "m", is as follows:
m = (change in y-coordinates)/(change in x-coordinates)
To calculate this, you can follow these steps:
1. Identify two points on the line. You can choose any two points, but it's usually best to select points with whole number coordinates for easier calculations.
2. Determine the coordinates of the two points you selected. Let's call the first point (x1, y1) and the second point (x2, y2).
3. Calculate the change in y-coordinates by subtracting y2 from y1: Δy = y2 - y1.
4. Calculate the change in x-coordinates by subtracting x2 from x1: Δx = x2 - x1.
5. Divide the change in y-coordinates (Δy) by the change in x-coordinates (Δx): m = Δy/Δx.
Now, let's apply this process to the given questions:
1. If the change in y-coordinates is 1 and the change in x-coordinates is 2, then the slope is 1/2.
2. If the change in y-coordinates is 4 and the change in x-coordinates is 1, then the slope is 4.
3. If the change in y-coordinates is -1 and the change in x-coordinates is 2, then the slope is -1/2 (or negative 1/2).
4. If the change in y-coordinates is 2 and the change in x-coordinates is 1, then the slope is also 2.
I hope this explanation helps you understand how to find the slope of a line given its graph!