What is an equation of the line that passes through point (-4,8) and is parallel to the line x + y = 6

Question

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Answer 1

x+y=6

y=-x + 6 the slope is the coefficient of the x term, when the equation is solved for x, m=-1

y=-x + b where b = the y coefficient. solve for b by plugging in the point (-4,8) x=-4, y=8

8 =-(-4) + b

b = 4

y=-x +4 is the parallel equation going through the point (-4,8)