Answer:
2x + y = 4
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given equation of line
2x + y = 6 ( subtract 2x from both sides )
y = - 2x + 6 ← in slope- intercept form
with slope m = - 2
• Parallel lines have equal slopes , then
y = - 2 x + c ← is the partial equation
to find c, substitute (4, - 4 ) for x and y into the partial equation
- 4 = - 2(4) + c = - 8 + c ( add 8 to both sides )
4 = c
y = - 2x + 4 ← equation in slope- intercept form
add 2x to both sides
2x + y = 4 ← equation in standard form