4. Find the slope of the line that goes through the following points. (1 point)
X 0 1 2 3
y -4 -3 -2 -1
O-1
O1
O-4
O-7
The given points are (0, -4), (1, -3), (2, -2), and (3, -1).
Using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Let's find the slope between points (0, -4) and (1, -3):
slope = (-3 - (-4)) / (1 - 0) = 1
We can confirm that the slope is the same for any two points on the line, so the slope of the line that goes through all these points is 1.
Therefore, the correct answer is:
O1
To find the slope of the line that goes through these points, we can use the formula for slope:
slope = (change in y) / (change in x)
From the given points, we can form two pairs of points: (0, -4) and (1, -3), and (1, -3) and (2, -2). Let's calculate the slope between these pairs.
For the first pair, the change in y is -3 - (-4) = 1, and the change in x is 1 - 0 = 1. Therefore, the slope between these two points is 1/1 = 1.
For the second pair, the change in y is -2 - (-3) = 1, and the change in x is 2 - 1 = 1. Therefore, the slope between these two points is 1/1 = 1.
Since the slopes between both pairs of points are equal, we can conclude that the slope of the line passing through these points is 1.
So, the correct answer is O1.
To find the slope of the line that goes through the given points, we can use the formula for slope:
slope = (change in y)/(change in x)
Let's calculate the change in y and change in x using the given points.
For the first two points:
change in y = -3 - (-4) = 1
change in x = 1 - 0 = 1
For the next two points:
change in y = -2 - (-3) = 1
change in x = 2 - 1 = 1
For the last two points:
change in y = -1 - (-2) = 1
change in x = 3 - 2 = 1
Since the change in y and change in x are the same for all sets of points, the slope of the line that passes through them is the same.
Therefore, the slope of the line is 1.