find the equation of the line that passes through (2,-1) and is parallel to 2x+y-4=0. leave your answer in the form y=mx+c

y = - 2x + 3

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

2x + y - 4 = 0 ( subtract 2x - 4 from both sides )

y = - 2x + 4 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes , thus

y = - 2x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - 2x + 3 ← equation of parallel line

right

step-by-step explanation: