anonymous
  • anonymous
Find the point on the line y=x+1 that is closest to the point (4,1).
Mathematics
jamiebookeater
  • jamiebookeater
See more answers at brainly.com
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
Do I need to substitute the 4 in place of x and the 1 in place of y? I am not sure how or where to start.
Rogue
  • Rogue
I'll give you a hint. When the point on the line y = x + 1 that is closest to (4,1) is connected to (4,1), the line that is formed is perpendicular to y = x + 1.
anonymous
  • anonymous
so the ending equation would be 1=4+1

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
or would it be a negative
Rogue
  • Rogue
Uhm, no. First find the line of the perpendicular line that crosses the point (4,1). The slope of a line perpendicular to to another line would be the negative reciprocal of the other line. The slope of y = x + 1 is 1. The slope of the perpendicular line should be -1. Put together the information you have to get the equation of the perpendicular line. m = -1, passes (4,1) y = -1(x - 4) + 1 = 5 - x Now the perpendicular line intersects the original line, so set the two lines equal. y = 5 - x y = x + 1 5 - x = x + 1 x = 2 At x = 2, y = 3. So the closest point is (2,3).

Looking for something else?

Not the answer you are looking for? Search for more explanations.