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 .

x/3-10=8

x/3=18

x=48

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17