Respuesta :
Answer:
6
Step-by-step explanation:
You substitute the points into the distance formula. There aren't decimals in this answer, so I don't think you need to round to the nearest tenth. You can also check by plotting these points down on a graph.
(4, -1) (-2, -1)
The y coordinates are the same, you just need to count from -2 to 4. There are 2 steps before 0 and 4 steps after 0. So 2 + 4 is 6.
Answer: 6
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Work Shown:
[tex]\text{Distance Formula}\\\\d = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{(4-(-2))^2 + (-1-(-1))^2}\\\\d = \sqrt{(4+2)^2 + (-1+1)^2}\\\\d = \sqrt{(6)^2 + (0)^2}\\\\d = \sqrt{36}\\\\d = 6\\\\[/tex]
This value is exact. No rounding is needed.
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A shortcut is to subtract the x coordinates and apply absolute value
So either |x1-x2| = |4-(-2)| = |4+2| = |6| = 6
Or |x2-x1| = |-2-4| = |-6| = 6
This shortcut only works because the y coordinates the same for both points.
On a graph, you can plot the two points and count the spaces between them. You should count out 6 spaces.
