Answer:
(-4, -8)
Step-by-step explanation:
Let the coordinates of common point of the given lines are (x, y),
Thus, the slope of the line passes through the points (a, b) and R(4,2) is,
2 - b
m1 = ------
4 - a
Again, the slope of the line passes through two points P(-6,4) and Q(4,-4),
-4 - 4 -8 -8 -4
m2 = ------ = --------- = --------- = ---------
4- (-6) 4 + 6 10 5
= m1 * m2 = -1
2 - b -4
= ------- x ---- = -1
4 - a 5
8 - 4b
= ----------- = 1
20 - 5a
= 8 - 4b = 20 - 5a
= 5a - 4b = 12 --------- equation 1
For a = -6 and b = -10
5 x -6 - 4 x 10 = -70 ≠ 12
For a = -4 and b = -8
5 x -4 - 4 x - 8 = 12 = 12
For a = 0 and b = -1
5 x 0 - 4 x -1 = 4 ≠ 12
For a = 2 and b = 4
5 x 2 - 4 x 4 = -6 ≠ 12
therefore Second is correct
hope it helps and i get the brainliest.
