(3,4) is the midpoint of line JK, where J has coordinates (1,2). How do I find the coordinates of K?

Answer 1

to get the midpoint 3,4 two was added to both x and y values. Add two to the x and y again. The answer should be (5,6)

Answer 2

Let the coordinates of K be (x,y)
Then the coordinates of J --> (1,2) and the midpoint of JK is then

JK/2 = [(x+1)/2, (y+2)/2] = (3,4) or
(x+1)/2 = 3 and (y+2)/2 = 4 or x=5 and y=6

Answer 3

Double the change in x and y coordinates that there are between J and the midpoint.

For the distance between J and M (midpoint)
Δx = 3 - 1 = 2
Δy = 4 - 2 = 2

For the distance between J and K
2Δx = 4
2Δy = 4

For K
x = 1 + 2Δx = 1 + 4 = 5
x = 1 + 2Δy = 2 + 4 = 6

Coordinates of K = (5,6)

Answer 4

step a million is to calculate the slope of the line, which equals substitute in y/ substitute in x. factors are ( x, y ) M's y cost - J's y cost slope =_____________________ M's x cost - J's x cost 4 - 2 = 2 slope = ______ = ____ = a million through fact ( 4-2 )/ ( 3 - a million ) = 2/2 = a million 3 - a million = 2 equation of right now line is y = mx + b m is the slope, which all of us be attentive to, =a million now we are able to enter the values of ( x, y ) from a factor to calculate b, the y - intercept, that's the vale of y, whilst x = 0 factor M ( 3, 4 ) values would be used 4 = 3 ( a million ) + b 4 = 3 + b a million = b b =a million now the values of factor J would be used, to make confident that slope will additionally = a million 2 = a million ( a million ) =a million 2 =2 to get from factor M to point J, 2 replaced into subtracted from each and every coordinate of factor M coordinates of factor ok, are got here upon by using including 2 to each coordinate of factor J coordinates of factor ok = ( 3 + 2, 4 + 2 ) = ok = ( 5, 6 ) You tutor confusion through fact your answer is, " Line JK = ( 3,6 ) ( 3,6 ) is unquestionably the coordinates of a factor on the x-y graph. the place a selection line representing all unfavorable and helpful values of x is horizontal, and a selection line representing all unfavorable and helpful values of y is vertical. those 2 selection lines intersect the place x = 0, and y = 0 What you wrote on your question tells me which you have not have been given a good awareness of math. I choose you the appropriate of success, and be attentive to which you will prevail in case you had the intelligence to study applying " Yahoo's solutions "

Answer 5

Δx=3-1=2
Δy=4-2=2

2Δx=2*2=4
2Δy=2*2=4

x=1+2Δx=1+4=5
x=2+2Δx=2+4=6

The coordinate is K(5,6).

Answer 6

let the coordinates of K be x and y.
(1+x)/2=3
1+x=6
x=6-1
x=5

(2+y)/2=4
2+y=8
y=6
Coordinates of K(5,6)