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, we can use the formula for slope:
slope = (change in y-coordinate) / (change in x-coordinate)
Looking at the graph, we can see that the y-coordinate changes from 2 to 6, and the x-coordinate changes from -6 to -4.
So, the change in y-coordinate is 6 - 2 = 4, and the change in x-coordinate is -4 - (-6) = -4 + 6 = 2.
Plugging these values into the formula, we get:
slope = 4 / 2 = 2
Therefore, the slope of the line is 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.
To find the slope of the line, we can use the formula for slope:
slope = (change in y-coordinate) / (change in x-coordinate)
Looking at the graph, we can see that the y-coordinate changes from 2 to -1, and the x-coordinate changes from 0 to 1.
So, the change in y-coordinate is -1 - 2 = -3, and the change in x-coordinate is 1 - 0 = 1.
Plugging these values into the formula, we get:
slope = -3 / 1 = -3
Therefore, the slope of the line is -3.
To find the slope of a line given its graph, we need to use the formula for slope, which is:
Slope (m) = (change in y-coordinates) / (change in x-coordinates)
In this case, we have two points plotted on the graph: (-6, 2) and (-4, 6).
The change in y-coordinates is the difference between the y-values of the two points, which is 6 - 2 = 4.
The change in x-coordinates is the difference between the x-values of the two points, which is -4 - (-6) = -4 + 6 = 2.
Now we can calculate the slope:
Slope = (change in y-coordinates) / (change in x-coordinates)
= 4 / 2
= 2
Therefore, the slope of the line is 2.