Answer:
y = - 5x - 28
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 of the line
y = - 5x + 5 ← 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 (- 5, - 3 ) for x and y in the partial equation
- 3 = - 5(- 5) + c = 25 + c ( subtract 25 from both sides )
- 28 = c
y = - 5x - 28 ← equation of parallel line