Help me please i only have 10 minutes. What is an equation of the line that passes through the point
(
−
8
,
−
1
)
(−8,−1) and is parallel to the line
x
−
4
y
=
4
x−4y=4?

x - 4y = - 4

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 )

Given

x - 4y = 4  ( subtract x from both sides )

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

y = x - 1 ← in slope intercept form

with slope m =

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation

To find c substitute (- 8, - 1) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = x + 1 ← equation in slope- intercept form

Multiply through by 4

4y = x + 4 ( subtract 4y from both sides )

0 = x - 4y + 4 ( subtract 4 from both sides )

- 4 = x - 4y, that is

x - 4y = - 4 ← equation in stanfard form

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square