We know that
As the midpoint is a point on the perpendicular line, we can solve by eliminating the other equations, like this:
a) Check if the point (-1,-2) is on the line y=-4x-4:
for x=-1
y=-4*(-1)-4--------> y=0
0 is not -2--------> that is not the equation
b) Check if the point (-1,-2) is on the line y = −4x − 6:
for x=-1
y=-4*(-1)-6--------> y=-2
-2 is equal to -2--------> that is the equation
c) Check if the point (-1,-2) is on the line y = x – 4
for x=-1
y=-(-1)-4--------> y=-5
-5 is not -2--------> that is not the equation
d) Check if the point (-1,-2) is on the line y = x – 6
for x=-1
y=-(-1)-6--------> y=-7
-7 is not -2--------> that is not the equation
therefore
the answer is
y = −4x − 6:
Answer:
-1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals
the negative reciprocal of 2 is -1/2
I’m assuming c because it’s the only one that’s just a point while the others are rays
Answer:
x = 
Step-by-step explanation:
Given
= d ← multiply both sides by (x + c)
ax - bx = d(x + c) ← distribute parenthesis
ax - bx = dx + cd ( subtract dx from both sides )
ax - bx - dx = cd ← factor out x from each term on the left side
x(a - b - d) = cd ← divide both sides by (a - b - d)
x = 
Answer:
(-3, -2)
Step-by-step explanation:
Please see the attached pictures for the full solution.