Answer:
y = - [tex]\frac{3}{2}[/tex] x + 5
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
3x + 2y = - 4 ( subtract 3x from both sides )
2y = - 3x - 4 ( divide terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
• Parallel lines have equal slopes , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (4, - 1 ) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{3}{2}[/tex] x + 5 ← equation of parallel line
