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
−5
negative 5
−1
1 answer
To find the slope of the line that connects the two plotted points \( (-3, 1) \) and \( (2, -4) \), we can use the formula for the slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) = (-3, 1) \) and \( (x_2, y_2) = (2, -4) \).
Now, substituting the values into the formula:
\[ m = \frac{-4 - 1}{2 - (-3)} = \frac{-5}{2 + 3} = \frac{-5}{5} = -1 \]
Thus, the slope of the line is \( -1 \).
The answer is:
−1
