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)
Responses
−1
negative 1
−56
negative Start Fraction 5 over 6 End Fraction
−5
negative 5
1
1
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To find the slope of the line, we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let's identify the coordinates of the two points:
Point 1: (-3, 1)
Point 2: (2, -4)
Now, substitute the values into the slope formula:
m = (-4 - 1) / (2 - (-3))
m = -5 / 5
m = -1
Therefore, the slope of the line is -1 or negative 1.
To find the slope of the line given its graph, we can use the formula for slope. The formula for slope is:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's find the change in y-coordinates and change in x-coordinates between the two plotted points.
The first plotted point is (-3, 1), and the second plotted point is (2, -4).
The change in y-coordinates is: -4 - 1 = -5
The change in x-coordinates is: 2 - (-3) = 5
Now, we can calculate the slope:
slope = (-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:
Slope (m) = (y2 - y1) / (x2 - x1)
In this case, we can see that the two plotted points are (-3, 1) and (2, -4). Let's label them as (x1, y1) = (-3, 1) and (x2, y2) = (2, -4).
Now, we can plug these values into the slope formula:
Slope (m) = (-4 - 1) / (2 - (-3))
= (-5) / (2 + 3)
= (-5) / 5
= -1
Therefore, the slope of the line is -1 or negative 1.