Answer: 2x + 5y = - 10, Cy + 4 = (x-5)
Dy - 4 = (x+ 5)
Step-by-step explanation:
Equation of the line
5x - 2y = -6
Conditions for perpendicularity
m1 x m2 = -1
To get m1, rearrange the equation
2y = 5x + 6
y = 5x/2 + 3
n1 = 5/2 and m2 = -2/5
To get C
y = mx +c
-4 = -2 x 5/5 + C
-4 = -2 + C
C = -4 + 2
C = -2
To get the equation of the second line
y = -2x/5 - 2
Multiply through by 5
5y = -2x - 10
2x + 5y = 10.
It is 90
When something is perpendicular it means it is at a 90 degree angle
A- they are parallel because they have equal slopes.
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is
.
Here are the transformations of a rational function:

a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to
, we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!