Answer:
3x + y = 2
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 + y = - 12 ( subtract 3x from both sides )
y = - 3x - 12 ← in slope- intercept form
with slope m = - 3
• Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
to find c substitute (- 1, 5 ) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = - 3x + 2 ← equation in slope- intercept form
add 3x to both sides )
3x + y = 2 ← equation in standard form
