(is on the line 6x−7y=−9. find the other half of the coordinate.

The result should be 3.

To solve this re-write the equation so that it reads y= and then plug in the 2 from the coordinate and then solve for y. or you can just plug in the 2 for x and solve for y, either way works and you get that y is 3, which means that the coordinate is (2,3)

(6.2)-7y=-9
12-7y=-9
-7y=-9-12
-7y=-21
y=-21/-7
y=3

6.2-7y=

(x,y) form
therefor
x=2 and y=? is one solution that is true
subsitue 2 for x and ? for y
6(2)-7(?)=-9
multiply
12-7?=-9
subtract 12 from both sides
-7?=-21
divide both sides by -7
?=3

(2,3)

here, x = 2

putting the value of x in the equation we get:

6x-7y=-9

or, 6×2- 7×y=-9

or, 12- 7×y= -9

or, 7×y =-21

so, y = -3