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.
(1 point)
Responses
2
2
4
4
−12
negative Start Fraction 1 over 2 End Fraction
12
The slope of a line can be determined by calculating the change in y-coordinates divided by the change in x-coordinates between two points on the line.
In this case, the change in y-coordinates is 4 - 0 = 4 and the change in x-coordinates is 0 - (-8) = 8.
Therefore, the slope of the line is 4/8 = 1/2.
So, the correct answer is:
negative Start Fraction 1 over 2 End Fraction.
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
By looking at the coordinates of the two plotted points, we can see that the change in y is 4 - 0 = 4, and the change in x is 0 - (-8) = 8.
Therefore, the slope of the line is:
slope = (4 - 0) / (0 - (-8)) = 4 / 8 = 1/2 or 0.5
To find the slope of a line given its graph, follow these steps:
1. Identify two points on the line. In this case, the given points are (-8, 0) and (0, 4).
2. Use the slope formula:
Slope = (change in y) / (change in x)
3. Calculate the change in y by subtracting the y-coordinates of the two points:
Change in y = 4 - 0 = 4
4. Calculate the change in x by subtracting the x-coordinates of the two points:
Change in x = 0 - (-8) = 8
5. Plug the values into the slope formula and simplify:
Slope = 4/8 = 1/2
Therefore, the slope of the line is 1/2.