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 4 comma 9 right parenthesis, left parenthesis 5 comma 0 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
−9
negative 9
−19
negative Start Fraction 1 over 9 End Fraction
9
9
−412
negative 4 Start Fraction 1 over 2 End Fraction
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1 answer
To find the slope of the line that passes through the points (4, 9) and (5, 0), we can use the formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we can assign the points as follows:
Now substituting the values into the slope formula:
\[ m = \frac{0 - 9}{5 - 4} = \frac{-9}{1} = -9 \]
Therefore, the slope of the line is:
−9
