Answer:
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
