anonymous
  • anonymous
Find the point on the line 8x+7y-2=0 which is closest to the point (-6,-4).
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
y=(2/7)-(8/7)x The point (-6,-4) should be located on a line perpendicular to the original equation Thus use use the negative inverse of the slope m (which is -(8/7) and make it +(7/8)) Plug in (-6,-4) into the general line equation: y=mx+b and solve for b set the two equations equal to each other and you get the closest point. To find the distance between use: distance formula d=sqrt((x2-x1)^2+(y2-y1)^2)
anonymous
  • anonymous
Remember, the shortest distance between a line and a point is a perpendicular line between the point and the other point on the line.

Looking for something else?

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