Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

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Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Okay, so it says we need to have a line parallel to the one above. Whenever lines are parallel that means they will have the same slope. :) That means we have y=-x so far and to get the rest of the equation we use the point-slope formula. y-y1=m(x-x1) In this problem m=slope, and (4,1) is (x1,y1). So once we pluck in the stuff in, we have- y-1=-1(x-4) Now we distribute the parenthesis y-1=-x+4 And now we add 1 to both sides :) y=x+5 -> This is the equation which we now found :)

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