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THE LINE V PASSES THROUGH THE POINTS(-5,3)&(7,-3)&THE LINE W PASSES THROUGH THE POINTS (2,-4)&(4,2).THE LINE V&W INTERSECT AT THE POINT A.WORK OUT THE COORDINATES OF THE POINT A
2 answers
Find equation of line V
(y-3)/(x+5)= (-6/12)
-6 x - 30 = 12 y - 36
12 y = -6 x + 6
6 y = -3 x + 3
Find equation of line W
(y+4)/(x-2) = 6/2 = 3
3 x - 6 = y + 4
y = 3 x - 10
Find intersection
6 y = -3 x + 3
1 y = +3 x - 10
--------------
7 y = -0 x - 7
y = -1
-7 = 3 x - 10
3 x = 3
x = 1
so
(1,-1)
(y-3)/(x+5)= (-6/12)
-6 x - 30 = 12 y - 36
12 y = -6 x + 6
6 y = -3 x + 3
Find equation of line W
(y+4)/(x-2) = 6/2 = 3
3 x - 6 = y + 4
y = 3 x - 10
Find intersection
6 y = -3 x + 3
1 y = +3 x - 10
--------------
7 y = -0 x - 7
y = -1
-7 = 3 x - 10
3 x = 3
x = 1
so
(1,-1)
1 answer