Answer:
y = 5x + 11
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
- 5x + y = 2 ( add 5x to both sides )
y = 5x + 2 ← in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, then
y = 5x + c ← is the partial equation
To find c substitute (- 2, 1) into the partial equation
1 = - 10 + c ⇒ c = 1 + 10 = 11
y = 5x + 11 ← equation of parallel line
