Answer:
y = - 8x + 20
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 8x - 5 ← is in slope- intercept form
with slope m = - 8
• Parallel lines have equal slopes , then
y = - 8x + c ← is the partial equation of the parallel line
to find c substitute (3, - 4 ) into the partial equation
- 4 = - 8(3) + c = - 24 + c ( add 24 to both sides )
20 = c
y = - 8x + 20 ← equation of parallel line