Find the slope of the line.

A line graph on a coordinate grid is shown.A coordinate grid is shown with the x-axis between negative 4 and 4 with each interval mark representing one unit, and the y-axis between negative 3 and 5 with each interval mark representing one unit. A line is graphed connecting the points left-parenthesis negative 1 comma negative 2 right-parenthesis and left-parenthesis 2 comma 1 right-parenthesis.
A. –3
B. 3
C. –start fraction 1 over 3 end fraction
D. start fraction 1 over 3 end fraction

1 answer

The slope of the line can be calculated using the formula:

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

We can choose either of the two given points as the starting point. Let's choose (-1,-2) as the starting point and (2,1) as the ending point.

change in y = 1 - (-2) = 3
change in x = 2 - (-1) = 3

slope = (change in y)/(change in x) = 3/3 = 1

Therefore, the slope of the line is 1.

The answer is not listed, but it would be closest to option D, which is 1/3. However, the slope is not negative or equal to -3 or 3, so options A and B are incorrect.