What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)? On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

******************

this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years