Review of the Coordinate Plane & Slope Quick Check
5 of 55 of 5 Items
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 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 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:
slope = (y2 - y1) / (x2 - x1).
In this case, the coordinates of the first point are (-3, 1) and the coordinates of the second point are (2, -4).
Using the formula, we get:
slope = (-4 - 1) / (2 - (-3))
= (-5) / (2 + 3)
= (-5) / 5
= -1.
Therefore, the slope of the line is -1.
To find the slope of the line given its graph, we need to use the formula for slope, which is:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we have two points: (-3, 1) and (2, -4). The change in y-coordinates is -4 - 1 = -5, and the change in x-coordinates is 2 - (-3) = 5.
We can now plug these values into the slope formula:
slope = (-5) / 5
Simplifying, we find:
slope = -1
Therefore, the slope of the line given its graph is -1.
To find the slope of a line given its graph, we need to calculate the change in y-coordinates divided by the change in x-coordinates. In this case, we can use the two plotted points (-3, 1) and (2, -4) to find the slope.
The change in y-coordinates is the difference between the y-coordinates of the two points: -4 - 1 = -5.
The change in x-coordinates is the difference between the x-coordinates of the two points: 2 - (-3) = 5.
So, the slope of the line is -5/5, which simplifies to -1.
Therefore, the slope of the line given its graph is -1.