Review of the Coordinate Plane & Slope Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
y:2
x:1
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 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, we need to determine the change in y-coordinates (vertical change) divided by the change in x-coordinates (horizontal change).
The given 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.
To find the slope of the line, we need to use the formula for slope:
Slope = (change in y) / (change in x)
From the graph, we can see that the line is connecting the points (0,2) and (1,-1).
So, the change in y is:
-1 - 2 = -1 - 2 = -3
And the change in x is:
1 - 0 = 1
Now we can use these values to calculate the slope:
Slope = (-3) / 1 = -3
Therefore, the slope of the line is -3.
To find the slope of a line given its graph, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we can see that the two plotted points are (0, 2) and (1, -1).
The change in y-coordinates is the difference between the y-coordinates of the two points: -1 - 2 = -3.
The change in x-coordinates is the difference between the x-coordinates of the two points: 1 - 0 = 1.
Therefore, the slope of the line is:
slope = -3 / 1 = -3.
So the slope of the line given its graph is -3.