A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: (-6, 2), (- 4, 6). A line connects the two plotted points and extends beyond the points in both directions. Find the slope of the line given its graph.
The slope of a line can be found using the formula:
slope = (change in y)/(change in x).
Let's find the change in y:
change in y = y2 - y1
change in y = 6 - 2
change in y = 4
Now, let's find the change in x:
change in x = x2 - x1
change in x = -4 - (-6)
change in x = -4 + 6
change in x = 2
Now, we can find the slope:
slope = change in y / change in x
slope = 4/2
slope = 2
Therefore, the slope of the line is 2.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: (0, 2), (1, -1). A line connects the two plotted points and extends beyond the points in both directions. Find the slope of the line given its graph.
To find the slope of the line, we can use the formula:
slope = (change in y)/(change in x).
Let's find the change in y:
change in y = y2 - y1
change in y = -1 - 2
change in y = -3
Now, let's find the change in x:
change in x = x2 - x1
change in x = 1 - 0
change in x = 1
Now, we can find the slope:
slope = change in y / change in x
slope = -3/1
slope = -3
Therefore, the slope of the line is -3.
To find the slope of a line given its graph on a coordinate plane, you can use the formula for slope:
Slope = (change in y-coordinates)/(change in x-coordinates)
In this case, we are given two points (-6, 2) and (-4, 6) on the line.
To calculate the change in y-coordinates, subtract the y-coordinate of the first point from the y-coordinate of the second point:
Change in y-coordinates = 6 - 2 = 4
To calculate the change in x-coordinates, subtract the x-coordinate of the first point from the x-coordinate of the second point:
Change in x-coordinates = -4 - (-6) = -4 + 6 = 2
Now, you can plug these values into the slope formula:
Slope = 4/2 = 2
Therefore, the slope of the line is 2.
To find the slope of a line given two points, we can use the formula:
slope = (change in y) / (change in x)
We have the two points (-6, 2) and (-4, 6).
To find the change in y, we subtract the y-coordinates of the two points:
change in y = 6 - 2 = 4
To find the change in x, we subtract the x-coordinates of the two points:
change in x = -4 - (-6) = -4 + 6 = 2
Now, we can calculate the slope:
slope = (change in y) / (change in x) = 4 / 2 = 2
Therefore, the slope of the line is 2.