does -3,8 and -3,2 intercept with -2,10 and -2,0
To determine if the lines represented by the points (-3,8) and (-3,2) intercept with the lines represented by the points (-2,10) and (-2,0), we need to compare their slopes.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
For the first set of points (-3,8) and (-3,2), the slope is:
slope₁ = (2 - 8) / (-3 - (-3)) = (-6) / 0 = undefined
The slope of this line is undefined because the denominator is zero. This means the line is vertical.
For the second set of points (-2,10) and (-2,0), the slope is:
slope₂ = (0 - 10) / (-2 - (-2)) = (-10) / 0 = undefined
Similarly, the slope of this line is also undefined, indicating that it is vertical.
Since both lines are vertical, they will never intersect.
To determine whether the lines represented by (-3, 8) to (-3, 2) and (-2, 10) to (-2, 0) intercept, we need to check if the x-coordinate of one point on one line falls within the x-coordinate range of the other line.
For the first line, the x-coordinate range is -3 (the only x-coordinate). For the second line, the x-coordinate range is also -2.
Since the x-coordinate -3 does not fall within the x-coordinate range of the second line (-2), the lines do not intersect.
To determine if the lines represented by (-3, 8) and (-3, 2) intercept with (-2, 10) and (-2, 0), we need to see if the point of intersection lies on both lines.
We can start by drawing a graph to visualize the situation. The x-axis represents the horizontal line, and the y-axis represents the vertical line.
First, let's plot the points (-3, 8), (-3, 2), (-2, 10), and (-2, 0) on the graph:
(-3, 8):
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(-3, 2):
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(-2, 10):
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(-2, 0):
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Now, we can see that the points (-3, 8) and (-3, 2) lie on a vertical line, while (-2, 10) and (-2, 0) lie on a vertical line as well. Let's extend these lines to observe if they intersect:
(-3, 8):
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(-3, 2):
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(-2, 10):
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(-2, 0):
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From the graph, we can see that the two lines do not intersect at any point. The lines represented by (-3, 8) and (-3, 2) do not intersect with the lines represented by (-2, 10) and (-2, 0).