ACT Math 5.4 Coordinate Geometry
ACT Math: Coordinate Geometry Drill 5, Problem 4. Find the other endpoint.
|ACT Math||Coordinate Geometry|
|ACT Mathematics||Coordinate Geometry|
|Coordinate Geometry||Distance and midpoints|
|Foreign Language||Arabic Subtitled|
|Parallel and Perpendicular Lines||Equations and Slopes of Lines|
|Product Type||ACT Math|
...the midpoint between the two points can be found with the formula: x1 plus x2 divided
by 2, y1 plus y2 divided by 2. But we're not given the two endpoints. Instead,
we're given the midpoint and one other point...
Not a problem. Let's place these values in the midpoint formula.
(2,1) equals the quantity 3 plus x... divided by 2... and the quantity negative 4 plus y
divided by 2. So the x coordinate equation is 2 equals 3
plus x divided by 2...and the y coordinate is 1 equals negative 4 plus y divided by 2.
Now let's go to the x coordinate equation. Multiply both sides by 2...
So 4 equals 3 plus x. Then we subtract both sides by 3..
So the x coordinate is 1.
Well, now let's go to the y-coordinate equation.
Multiply both sides by 2. 2 equals negative 4 plus y. Add 4 to both sides...
So y equals 6. And yeah, it's answer choice E!