what is the equation of a line passing through (4, -4) and perpendicular to the line whose equation is x-5y-3=0

y=1/5 x / 3/5

Step-by-step explanation:

Move all terms not containing

Move all terms not containing

to the right side of the equation.

Divide each term

and simplify.

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form  or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem