Question

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.

Answer 1

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.

Answer 2

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.

Answer 3

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.