Answer:
1. the Equation of vertical line=> x=3
2. the Equation of horizontal line
=> y = 4
Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:

where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

Using
, we find that a line perpendicular to the line shown should have a slope of

The correct answer is B. Hope it helps!
Answer:
(7,12),(-12,-7)
Step-by-step explanation:
x^2 + y^2 = 193
x - y = - 5
x = y - 5
(y - 5)^2 + y^2 = 193
y^2 - 10y + 25 + y^2 = 193
2y^2 - 10y + 25 = 193
2y^2 - 10y + 25 - 193 = 0
2y^2 - 10y - 168 = 0
2*(y^2 - 5y - 84) = 0 This factors into
2*( y - 12) (y + 7) = 0
y = 12
in which case x = 12 - 5 = 7
y = - 7
in which case x = -7 - 5 = - 12

Take both sides as powers of 4:

Do it again:
