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
9
−19
negative Start Fraction 1 over 9 End Fraction
−412
negative 4 Start Fraction 1 over 2 End Fraction
−9
1 answer
To find the slope of the line connecting the points \( (4, 9) \) and \( (5, 0) \), we use the formula for slope:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) = (4, 9) \) and \( (x_2, y_2) = (5, 0) \).
Plugging the values into the formula:
\[ m = \frac{0 - 9}{5 - 4} = \frac{-9}{1} = -9 \]
Thus, the slope of the line is
\[ \boxed{-9} \]
1 answer
1 answer
1 answer
1 answer