Question

Question

Use the image to answer the question.

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

−412
negative 4 Start Fraction 1 over 2 End Fraction

−19
negative Start Fraction 1 over 9 End Fraction

−9

Answer 1

To find the slope of the line that passes through the points (4, 9) and (5, 0), we can use the slope formula:

\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]

Let \((x_1, y_1) = (4, 9)\) and \((x_2, y_2) = (5, 0)\).

Substituting the coordinates into the slope formula:

\[ m = \frac{0 - 9}{5 - 4} = \frac{-9}{1} = -9 \]

Therefore, the slope of the line is \(-9\).

The correct response is:

−9