What is an equation of the line that is perpendicular to y-3 =-4(x+2)

  where can be any number.

Step-by-step explanation:

First we need to clear for y:

and now we have an equation of the form:

where m is the slope and b is the y-intercept.

in this case and

to find and equation perpendicular to this line, the following must be true:

where m is the slope of the original line that i just mentioned, and is the slope of the new line. Substituting

clearing for

thus, the new perpendicular line must have the form:

where the y-intecept can be any number, some examples are:

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation .

7

step-by-step explanation: