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 negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 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
4

2
2

−12
negative Start Fraction 1 over 2 End Fraction

12
Start Fraction 1 over 2 End Fraction
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To find the slope of the line, we can use the formula:

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

From the graph, we can see that the y-coordinate of the first point is 0 and the y-coordinate of the second point is 4. The x-coordinate of the first point is -8 and the x-coordinate of the second point is 0.

Therefore, the change in y = (4 - 0) = 4 and the change in x = (0 - (-8)) = 8.

Plugging these values into the slope formula, we get:

slope = (4) / (8) = 1/2

So, the slope of the line is 1/2. Answer: Start Fraction 1 over 2 End Fraction