Find the missing endpoint, help
1 answer:
Answer:
M = (13, - 6 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
L (- 9, 4 ) , let M = (x, y ) , then
= 2 ( multiply both sides by 2 )
- 9 + x = 4 ( add 9 to both sides )
x = 13
and
= - 1 ( multiply both sides by 2 )
4 + y = - 2 ( subtract 4 from both sides )
y = - 6
Then
coordinates of M = (13, - 6 )
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Answer:
Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.
You can find the slope in two ways:
1. Useful if the line is graphed: count the units between 2 points on the line.
- Let's use the points (-1, 4) and (4, -4).
- (-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).
- Because the line is decreasing, the slope is negative.
- Therefore, the slope is
.
2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.
- Let's use the points (-1, 4) and (4, -4).
- Therefore, the slope is