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
−4 1/2
negative 4 Start Fraction 1 over 2 End Fraction
−9
negative 9
−1/9
negative Start Fraction 1 over 9 End Fraction
9
9
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1 answer
To find the slope of the line that connects the two points \((4, 9)\) and \((5, 0)\), we can use the formula for slope \((m)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's assign the coordinates:
Now, substitute the values into the slope formula:
\[ m = \frac{0 - 9}{5 - 4} = \frac{-9}{1} = -9 \]
So, the slope of the line is \(-9\).
The correct response is:
−9
