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 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.
A -1/8
B 1
C 1/8
D 8
To find the slope of the line, we can use the formula: slope = (change in y) / (change in x).
The coordinates of the two points are:
Point A: (-4, 7)
Point B: (4, 8)
To find the change in y, we subtract the y-coordinates:
Change in y = 8 - 7 = 1
To find the change in x, we subtract the x-coordinates:
Change in x = 4 - (-4) = 4 + 4 = 8
Therefore, the slope of the line is:
slope = (change in y) / (change in x) = 1 / 8
The correct answer is C, 1/8.
To find the slope of the line represented by the graph, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (x1, y1) = (-4, 7) and (x2, y2) = (4, 8), we can substitute these values into the formula:
slope = (8 - 7) / (4 - (-4))
= 1 / 8
Therefore, the slope of the line represented by the graph is 1/8.
Hence, the correct answer is C) 1/8.
To find the slope of a line given its graph, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the two points are (-4, 7) and (4, 8). Therefore, we can substitute these values into the formula:
slope = (8 - 7) / (4 - (-4))
= 1 / 8
So, the slope of the line is 1/8.
Therefore, the correct answer is C) 1/8.