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 4 comma 7 right parenthesis, left parenthesis 4 comma 8 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
1
1/8
Start Fraction 1 over 8 End Fraction
−1/8
negative Start Fraction 1 over 8 End Fraction
8
To find the slope of the line, we can use the formula:
slope = (change in y)/(change in x)
The change in y is the difference between the y-coordinates of the two points: 8 - 7 = 1
The change in x is the difference between the x-coordinates of the two points: 4 - (-4) = 8
Therefore, the slope of the line is 1/8.
To find the slope of the line given its graph, we can use the slope formula:
slope = (change in y)/(change in x)
Let's label the first point as (x1, y1) and the second point as (x2, y2).
The first point is (-4, 7) and the second point is (4, 8).
Now, we can calculate the slope:
change in y = y2 - y1 = 8 - 7 = 1
change in x = x2 - x1 = 4 - (-4) = 4 + 4 = 8
slope = (1)/(8)
Therefore, the slope of the line is 1/8.
To find the slope of a line given its graph, you can use the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
In this case, the given points are (-4,7) and (4,8). To find the change in y-coordinates, subtract the y-coordinate of the second point from the y-coordinate of the first point: 8 - 7 = 1. Similarly, to find the change in x-coordinates, subtract the x-coordinate of the second point from the x-coordinate of the first point: 4 - (-4) = 8 + 4 = 12.
So, the change in y-coordinates is 1 and the change in x-coordinates is 12.
Now, substitute these values into the slope formula:
slope = change in y-coordinates / change in x-coordinates
= 1 / 12
Hence, the slope of the line is 1/12.