Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
A 1
B -5/6
C -1
D -5
To find the slope of the line, we can use the formula:
slope = (change in y)/(change in x)
The change in y is -4 - 1 = -5, and the change in x is 2 - (-3) = 5.
So, the slope of the line is -5/5, which simplifies to -1.
Therefore, the correct answer is C) -1.
To find the slope of a line given its graph, we need to use the formula for slope, which is (change in y) / (change in x). Here's how you can find the slope using the information provided in the image:
1. Identify the two plotted points on the graph: (-3, 1) and (2, -4).
2. Determine the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point: -4 - 1 = -5.
3. Determine the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point: 2 - (-3) = 2 + 3 = 5.
4. Use the slope formula: slope = change in y / change in x = -5 / 5 = -1.
Therefore, the slope of the line given its graph is C) -1.
To find the slope of the line given its graph, we can use the formula:
slope = (change in y) / (change in x)
Looking at the two plotted points, we can see that the change in y is -4 - 1 = -5, and the change in x is 2 - (-3) = 2 + 3 = 5.
Plugging these values into the slope formula:
slope = (-5) / 5 = -1
Therefore, the slope of the line is -1. So, the answer is C -1.