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
−5
negative 5
−56
negative Start Fraction 5 over 6 End Fraction
1
1
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1 answer
To find the slope of the line given the points \((-3, 1)\) and \((2, -4)\), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1) = (-3, 1)\) and \((x_2, y_2) = (2, -4)\).
Now, plugging the values into the formula:
\[ m = \frac{-4 - 1}{2 - (-3)} = \frac{-4 - 1}{2 + 3} = \frac{-5}{5} = -1 \]
Thus, the slope of the line is \(-1\).
The correct response is:
\(-1\) negative 1
