Answer:
3x + y = 21
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
6x + 2y = 8 ( subtract 6x from both sides )
2y = - 6x + 8 ( divide through by 2 )
y = - 3x + 4 ← 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 (5, 6 ) into the partial equation
6 = - 3(5) + c = - 15 + c ( add 15 to both sides )
21 = c
y = - 3x + 21 ← equation in slope- intercept form
add 3x to both sides )
3x + y = 21 ← equation in standard form