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

−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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Answer 1

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:

- \((x_1, y_1) = (4, 9)\)
- \((x_2, y_2) = (5, 0)\)

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**