Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = 
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y = 
From the given equation; slope is 
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = 
Since y= 9 and x = -7;
So;
9 =
+ C
9 =
+ C
C = 9 -
= 
Now,
y =
x + 
mulitply through by 5;
5y = -2x + 31
9514 1404 393
Answer:
L'(4, -3)
Step-by-step explanation:
The reflection over the horizontal line y=-1 effects the transformation ...
(x, y) ⇒ (x, -2-y)
So, the coordinates of L are transformed to ..
L(4, 1) ⇒ L'(4, -2-1) = L'(4, -3)
For this case we have the following functions:

We must find f (g (x)). So:

Finally we have to:

For the function to be defined the denominator must be different from 0. That is x different from -3.
Answer:
Option B
Answer:
Quadrant III ( C )
Quadrant IV ( D )
Step-by-step explanation:
Ordered pair ( a, b )
gives a point P on the coordinate plane
( a, b ) = ( x, y )
given : b = negative ( y-axis )
a ≠ 0 ( i.e. a = negative or positive ) ( x -axis )
Therefore point P is located in the : Third and fourth quadrants