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An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through two plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 6 right parenthesis.

Explain why the slope is positive or negative.

(1 point)
Responses

The slope is negative because the line decreases as you move from left to right on the graph.
The slope is negative because the line decreases as you move from left to right on the graph.

The slope is positive because the line increases as you move from left to right on the graph.
The slope is positive because the line increases as you move from left to right on the graph.

The slope is positive because the line decreases as you move from left to right on the graph.
The slope is positive because the line decreases as you move from left to right on the graph.

The slope is negative because the line increases as you move from left to right on the graph.
The slope is negative because the line increases as you move from left to right on the graph.
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1 answer

The correct explanation for the slope of the line that passes through the points (0, 0) and (6, 6) is:

The slope is positive because the line increases as you move from left to right on the graph.

This is because, as you go from the point (0, 0) to (6, 6), both the x-coordinates and y-coordinates are increasing, indicating a positive relationship between x and y.