Write an equation for a line parallel to y=−4x+5 and passing through the point (4,-21)

y = - 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 5 is in this form with slope m = - 4

• Parallel lines have equal slopes, hence

y = - 4x + c ← is the partial equation of the parallel line

To find c substitute (4, - 21) into the partial equation

- 21 = - 16 + c ⇒ c = - 21 + 16 = - 5

y = - 4x - 5 ← equation of parallel line

b) well because you get well

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.