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.
Responses

−1
negative 1

−5
negative 5

−56
negative Start Fraction 5 over 6 End Fraction

1

1 answer

The slope of the line can be found using the formula:
\[ \text{slope} = \frac{{\text{change in y-coordinates}}}{{\text{change in x-coordinates}}}\]

Using the given points, the change in y-coordinates is:
\[1 - (-4) = 1 + 4 = 5\]

The change in x-coordinates is:
\[-3 - 2 = -3 - 2 = -5\]

Thus, the slope of the line is: \(\frac{5}{-5}\), which simplifies to \(-1\) or "negative 1".
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