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 on its given graph.
To find the slope of a line, we can use the formula:
\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\]
Given the coordinates of the two points, \((-8, 0)\) and \((0, 4)\), we can label them as:
\(x_1 = -8\),
\(y_1 = 0\),
\(x_2 = 0\),
\(y_2 = 4\).
Plugging these values into the formula, we get:
\[m = \frac{{4 - 0}}{{0 - (-8)}} = \frac{4}{8} = \frac{1}{2}\]
Therefore, the slope of the line is \(\frac{1}{2}\).
To find the slope of a line on a graph, you can use the formula:
slope = (change in y) / (change in x)
In this case, we have two points: (-8, 0) and (0, 4). Let's label them as point A and point B respectively.
To find the change in y (denoted as Δy), subtract the y-coordinate of point A from the y-coordinate of point B:
Δy = y-coordinate of point B - y-coordinate of point A
= 4 - 0
= 4
Next, we find the change in x (denoted as Δx) by subtracting the x-coordinate of point A from the x-coordinate of point B:
Δx = x-coordinate of point B - x-coordinate of point A
= 0 - (-8)
= 0 + 8
= 8
Now, we can substitute these values into the slope formula:
slope = Δy / Δx
= 4 / 8
= 1/2
Therefore, the slope of the line on the given graph is 1/2.
To find the slope of the line on the given graph, we can use the slope formula:
slope = (change in y)/(change in x)
In this case, the two plotted points are (-8, 0) and (0, 4).
To calculate the change in y, we subtract the y-coordinate of the first point from the y-coordinate of the second point:
change in y = 4 - 0 = 4
To calculate the change in x, we subtract the x-coordinate of the first point from the x-coordinate of the second point:
change in x = 0 - (-8) = 8 - 0 = 8
Now we can substitute the values into the slope formula:
slope = (change in y)/(change in x) = 4/8 = 1/2
Therefore, the slope of the line on the given graph is 1/2.