Answer:
y = - x - 1
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given the equation
y = - x + 8 ← in slope- intercept form
with slope m = - 1
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation
to find c, substitute (3, - 4 ) for x and y in the partial equation
- 4 = - 3 + c ( add 3 to both sides )
- 1 = c
y = - x - 1 ← equation of parallel line