Find the slope of the line given its graph. (1 point) Responses −4 and1/2 negative 4 Start Fraction 1 over 2 End Fraction −9 negative 9 −19 negative Start Fraction 1 over 9 End Fraction 9
Without the graph of the line, it is not possible to determine the slope.
To find the slope of a line given its graph, we need to calculate the change in y-coordinates divided by the change in x-coordinates. Let's choose two points on the line and use their coordinates to calculate the slope.
Suppose we have two points (x1, y1) and (x2, y2) on the line.
Using the coordinates you provided, let's say one point is (0, -4) and another point is (2, 1/2).
The change in y-coordinates is: (y2 - y1) = (1/2 - (-4)) = (1/2 + 4) = 4.5
The change in x-coordinates is: (x2 - x1) = (2 - 0) = 2
Now, to find the slope, we divide the change in y-coordinates by the change in x-coordinates:
slope = (change in y) / (change in x) = 4.5 / 2
The slope of the line is 4.5/2, which simplifies to 9/4. Therefore, the slope of the line given its graph is 9/4.
To find the slope of a line given its graph, you need to identify two points on the line. Then, you can use the slope formula, which states that the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points you provided to find the slope:
Point 1: (-4, 1/2)
Point 2: (-9, -19/9)
Plugging the values into the slope formula:
m = ((-19/9) - (1/2)) / (-9 - (-4))
Now, let's simplify the expression:
m = ((-19/9) - (1/2)) / (-9 + 4)
= (-19/9 - 1/2) / (-5)
= (-38/18 - 9/18) / (-5)
= (-47/18) / (-5)
= (-47/18) * (-1/5)
= 47/90
Therefore, the slope of the line given its graph is 47/90.