The slope of a line is determined by the rise (change in y) over the run (change in x) between two points on the line. In this case, the line passes through the points (0, 0) and (6, 6).
To calculate the slope, we can use the formula:
slope = (change in y) / (change in x)
For the points (0, 0) and (6, 6), the change in y is 6 - 0 = 6 and the change in x is 6 - 0 = 6.
Therefore, the slope is:
slope = 6 / 6 = 1
Since the slope is positive (1), we can conclude that the line has a positive slope.
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.
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