Use the image to answer the question.

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

−5/6
negative Start Fraction 5 over 6 End Fraction

−5
negative 5

1
1

−1
negative 1
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Answer 1

The slope of a line can be found using the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Looking at the graph, we can see that the change in y-coordinates is -4 - 1 = -5 and the change in x-coordinates is 2 - (-3) = 5.

Therefore, the slope of the line is -5/5 = -1.

So, the correct answer is: negative 1.