Find the equation of a line parallel to −4x−5y=−4 that contains the point (3,−2). write the equation in slope-intercept form.

see explanation

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 )

Rearrange - 4x - 5y = - 4 into this form

Add 4x to both sides

- 5y = 4x - 4 ( divide all terms by - 5 )

y = - + ← in slope- intercept form

with slope m = -

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - + c ⇒ c = - 2 + =

y = - x + ← in slope- intercept form

a

step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

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