Identify an equation in point-slope form for the ine parallel to y = -2/3 x+8 that passes through (4, -5).
A. y+5= 3/2(x-4)
B. y-5= -2/3 (x+4)
C. y+5= -2/3(x-4)
D. y-4= 2/3(x+5)

help please 15points!!

Step-by-step explanation:

Given

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to

This implies that they have the same slope, m

A linear equation is:

Where

By comparison: and

Next, we determine the line equation using:

Where

and

Hence,

Option C is correct

-4

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2