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.
1 point)
Responses
1
1
−56
negative Start Fraction 5 over 6 End Fraction
−1
negative 1
−5
The slope of the line can be found using the formula:
slope = (change in y) / (change in x)
To find the change in y, we subtract the y-coordinate of the first point (-4) from the y-coordinate of the second point (1):
change in y = 1 - (-4) = 1 + 4 = 5
To find the change in x, we subtract the x-coordinate of the first point (2) from the x-coordinate of the second point (-3):
change in x = -3 - 2 = -5
Now we can calculate the slope:
slope = (change in y) / (change in x) = 5 / -5 = -1
Therefore, the slope of the line is -1.
To find the slope of the line given its graph, we can use the formula for slope which is:
slope = (change in y)/(change in x)
By looking at the graph, we can see that the line passes through the points (-3, 1) and (2, -4).
The change in y is calculated by subtracting the y-coordinate of the second point from the y-coordinate of the first point:
change in y = -4 - 1 = -5
The change in x is calculated by subtracting the x-coordinate of the second point from the x-coordinate of the first point:
change in x = 2 - (-3) = 2 + 3 = 5
Now we can substitute these values into the slope formula:
slope = (-5)/(5) = -1/1 = -1
Therefore, the slope of the line is -1.
To find the slope of a line given its graph, we need to use the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
Looking at the graph, we see two plotted points: (-3, 1) and (2, -4).
To find the change in y-coordinates, we subtract the y-coordinate of the second point from the y-coordinate of the first point:
change in y-coordinates = -4 - 1 = -5
To find the change in x-coordinates, we subtract the x-coordinate of the second point from the x-coordinate of the first point:
change in x-coordinates = 2 - (-3) = 2 + 3 = 5
Now, we can plug these values into the slope formula:
slope = (-5)/(5) = -1
Therefore, the slope of the line given its graph is -1.