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 8 comma 0 right parenthesis, left parenthesis 0 comma 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.
A 1/2
B 2
C 4
D -1/2
To find the slope of a line, we can use the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
From the given information, we can see that the line connects the points (-8,0) and (0,4). So, the change in y-coordinates is 4-0 = 4 and the change in x-coordinates is 0-(-8) = 8.
Using the slope formula, we have:
slope = (4-0) / (0-(-8))
= 4 / 8
= 1/2
Therefore, the slope of the line is 1/2.
The correct answer is A) 1/2.
To find the slope of a line given its graph, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Looking at the graph, we can see that the line passes through the points (-8, 0) and (0, 4).
The change in y-coordinates is: 4 - 0 = 4
The change in x-coordinates is: 0 - (-8) = 8
Using the formula, we can calculate the slope:
slope = (change in y-coordinates) / (change in x-coordinates)
slope = 4 / 8
slope = 1/2
Therefore, the slope of the line is 1/2.
To find the slope of the line given its graph, we can use the formula for slope:
Slope = (change in y)/(change in x)
By examining the graph, we can see that the line passes through the points (-8, 0) and (0, 4).
The change in y is the difference between the y-coordinates of these two points: 4 - 0 = 4.
The change in x is the difference between the x-coordinates of these two points: 0 - (-8) = 8.
Now, we can plug these values into the slope formula:
Slope = (change in y)/(change in x)
Slope = 4/8
Slope = 1/2
Therefore, the slope of the line is 1/2.
So, the correct answer is A) 1/2.