Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:
mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)
Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2
Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3
We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6
In short, Your Final Answer would be: y = -2/3x + 6
Hope this helps!
Sin(x) = 12/13
x = 67.38 degrees
Answer: 7
5+9-3^2+2
= 14-3^2+2
= 14-9+2
= 5+2
= 7
