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
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.
To find the slope of the line, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Given that the points on the line are (-1, -2) and (2, 1), we can calculate the change in y-coordinates and the change in x-coordinates.
Change in y-coordinates = 1 - (-2) = 3
Change in x-coordinates = 2 - (-1) = 3
Now, we can calculate the slope:
slope = (change in y-coordinates) / (change in x-coordinates)
= 3 / 3
= 1
Therefore, the slope of the line is 1.
The correct answer is D. 1.
To find the slope of the line connecting two points on a coordinate grid, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the line connects the points (-1, -2) and (2, 1).
Let's calculate the change in y-coordinates:
change in y = (y2 - y1) = (1 - (-2)) = 3
Next, let's calculate the change in x-coordinates:
change in x = (x2 - x1) = (2 - (-1)) = 3
Now, we can calculate the slope:
slope = (change in y-coordinates) / (change in x-coordinates) = 3 / 3 = 1
Therefore, the slope of the line is 1.
The answer is not listed in the given options (A, B, C, or D). Please refer to the available options to choose the correct answer.