Answer:
y = - 5x + 3
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
10x + 2y = - 2 ( subtract 10x from both sides )
2y = - 10x - 2 ( divide through by 2 )
y = - 5x - 1 ← in slope- intercept form
• Parallel lines have equal slopes , then
y = - 5x + c ← is the partial equation
to find c substitute (1, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - 5x + 3 ← equation of parallel line