Question
Use the image to answer the 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: left parenthesis negative 6 comma 2 right parenthesis, left parenthesis negative 4 comma 6 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
To find the slope of the line given its graph, we need to identify two points on the line and calculate the change in y-coordinates divided by the change in x-coordinates.
From the graph, we can see that the two plotted points are (-6, 2) and (-4, 6).
The change in y-coordinates is:
6 - 2 = 4
The change in x-coordinates is:
-4 - (-6) = 2
Therefore, the slope of the line is:
4/2 = 2
So, the slope of the line is 2.
To find the slope of the line, we use the formula:
slope = (change in y)/(change in x)
Based on the graph and the plotted points, we can see that the change in y is 6 - 2 = 4, and the change in x is -4 - (-6) = -4 + 6 = 2.
Therefore, the slope of the line is:
slope = 4/2 = 2
Use the image to answer the 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: left parenthesis 0 comma 2 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
To find the slope of the line given its graph, we need to identify two points on the line and calculate the change in y-coordinates divided by the change in x-coordinates.
From the graph, we can see that the two plotted points are (0, 2) and (1, -1).
The change in y-coordinates is:
-1 - 2 = -3
The change in x-coordinates is:
1 - 0 = 1
Therefore, the slope of the line is:
-3/1 = -3
So, the slope of the line is -3.
To find the slope of the line given its graph, we can use the formula for slope:
slope = (change in y)/(change in x)
First, let's identify the coordinates of the two points plotted on the graph:
Point A: (-6, 2)
Point B: (-4, 6)
Now, let's calculate the change in y and the change in x:
Change in y = y-coordinate of Point B - y-coordinate of Point A = 6 - 2 = 4
Change in x = x-coordinate of Point B - x-coordinate of Point A = -4 - (-6) = -4 + 6 = 2
Now, we can plug the values into the slope formula to find the slope:
slope = (change in y)/(change in x) = 4/2 = 2
Therefore, the slope of the line is 2.