Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15 ?

The answer to your question is below

Step-by-step explanation:

Data

Two lines are parallel if their slopes are the same.

Two lines are perpendicular if their slopes are reciprocal.

If there is no relation between the slopes of two lines they are neither parallel nor perpendicular.

Process

1.- Find the slope of the line given

                         -3x + 5y = -15

                          5y = 3x - 15

                          y = x - 3

Slope =

2.- Find the slopes of the other lines

a) 5x + 3y = 15

  3y = -5x + 15

  y = - + 5

slope = -            This line is perpendicular to the line  given

                                                         because the slopes are reciprocal.

b)   3x + 5y = 15

     5y = -3x + 15

     y = - x + 15    This line is neither parallel nor

    slope  = -                                  perpendicular

c)     -3x + 5y = 15

       5y = 3x + 15

       y = x + 15

 slope =             This line is parallel to the line given

d)   3x + 5y = 15

     5y = -3x + 15

     y = + 3

     slope =        This line is neither parallel nor perpendicular to the line given

b

step-by-step explanation:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.