Use the image to answer the question.

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.

1 answer

The correct response is:

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

This is because a line with a positive slope rises as it moves horizontally from left to right, indicating that as the x-coordinates increase, the y-coordinates also increase. In this case, the line passes through the points (0, 0) and (6, 6), which shows that as you move from (0, 0) to (6, 6), the y-value increases along with the x-value.