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
negative 1
1
1
−56
negative Start Fraction 5 over 6 End Fraction
−5
The slope of the line can be determined by finding the change in y-coordinates divided by the change in x-coordinates.
The change in y-coordinates is 1 - (-4) = 5.
The change in x-coordinates is -3 - 2 = -5.
So, the slope of the line is 5 / -5 = -1.
Therefore, the correct answer is -1 or negative 1.
To find the slope of the line given its graph, we can use the formula:
Slope = (change in y-coordinates) / (change in x-coordinates)
Looking at the graph, we can see that the two plotted points are (-3, 1) and (2, -4). To calculate the change in y-coordinates, we subtract the y-coordinate of one point from the y-coordinate of the other point:
Δy = -4 - 1 = -5
To calculate the change in x-coordinates, we subtract the x-coordinate of one point from the x-coordinate of the other point:
Δx = 2 - (-3) = 2 + 3 = 5
Now we can substitute these values into the slope formula:
Slope = (-5) / 5 = -1
Therefore, the slope of the line is -1.
To find the slope of the line, we can use the formula:
slope (m) = (change in y) / (change in x)
Using the two plotted points, we can calculate the change in y and the change in x:
Change in y = y2 - y1 = (-4) - 1 = -5
Change in x = x2 - x1 = 2 - (-3) = 5
Now, substitute the values into the formula:
slope = (-5) / 5
Simplifying:
slope = -1
Therefore, the slope of the line given its graph is -1.