Posted by **Bob** on Wednesday, November 14, 2012 at 7:04pm.

Find the point on the line 1x+7y-4=0 which is closest to the point (-4,-6)

- Math -
**bobpursley**, Wednesday, November 14, 2012 at 7:17pm
distance will be along the perpendicular. The line perpendicular will have a slope= 7 (negative reciprocal of slope of the curve)

y=mx+b=7x+b but the point -4,-6) is on the line, so

-6=-28+b, or b=22 check that

finally, the curve and the line intersect, so

y=-x/7+4/7

y=7x+22

solve for x, y.

Now the distance formula

distance=sqrt[(x+4)^2+(y+6)^2 using x,y above.

- Math -
**Bob**, Wednesday, November 14, 2012 at 7:26pm
isn't x,y above just -4,-6 ?

what do i do with the distance formula?

## Answer This Question

## Related Questions

- Math - For the given point and line, find by projection the point on the line ...
- Math - Find the point on the line 6x + y = 9 that is closest to the point (-3,1...
- Math-Calculus - Find the point on the line -2x + 4y + 3 =0 which is closest to ...
- Math 9th grade slopes - A line connecting (5, 6) to another point has an ...
- Calculus-Applied Optimization Problem: - Find the point on the line 6x + 3y-3 =...
- URGENT HELP QUICK math rate of change - A line with a slope of -2 passes through...
- Calc - Find the point on the line –2x+2y–3=0 which is closest to the point (–4–4...
- Calculus - Find the point on the line 6x + y = 9 that is closest to the point (-...
- Pre-Calc - I am seeking help with this problem Please...Thank you! Find the ...
- calculus - Find the point on the line 2x+4y+7=0 which is closest to the point (4...

More Related Questions