Unit Rates & Proportions Unit Test

Question

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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

−412
negative 4 Start Fraction 1 over 2 End Fraction

−9
negative 9

9
9

−19
negative Start Fraction 1 over 9 End Fraction
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Answer 1

To find the slope of a line, we can use the formula:

slope = (change in y)/(change in x)

In this case, we can see that the change in y is 9 - 0 = 9 and the change in x is 4 - 5 = -1.

Plugging these values into the formula, we get:

slope = 9/(-1) = -9

Therefore, the slope of the line is -9.