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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 increases on the right.
The slope is negative because the line increases on the right.

The slope is positive because the slope is 36.
The slope is positive because the slope is 36.

The slope is positive because the slope is 1.
The slope is positive because the slope is 1.

The slope is negative because the slope is −1.
The slope is negative because the slope is , negative 1, .
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Answer 1

The slope is positive because the line rises as it moves to the right from left to right. This is because the line passes through the coordinates (0,0) and (6,6), and the slope between these two points is (change in y)/(change in x), which simplifies to (6-0)/(6-0) = 1. Therefore, the slope is positive.