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
−56
negative Start Fraction 5 over 6 End Fraction
1
1
−1
negative 1
−5
negative 5
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To find the slope of the line given its graph, we can use the formula for slope:
slope = (change in y-coordinates) / (change in x-coordinates)
Using the given points, the change in y-coordinates is: (-4) - 1 = -5
The change in x-coordinates is: 2 - (-3) = 5
Therefore, the slope of the line is: -5/5 = -1/1 = -1