Never heard of it: Find the coordinates of the foot of the perpendicular from (4,-2)

[Kitimbo]

Find the coordinates of the foot of the perpendicular from (4,-2) to 2x-3y-4=0.

Explain to me how I can get the foot because I never heard of it

 

[Deleted member 4993]

Find the coordinates of the foot of the perpendicular from (4,-2) to 2x-3y-4=0.

Explain to me how I can get the foot because I never heard of it

Foot is generally the point where the perpendicular intersects the line (analogous to foot of the flagpole).

 

[stapel]

Find the coordinates of the foot of the perpendicular from (4,-2) to 2x-3y-4=0.

Explain to me how I can get the foot because I never heard of it

First, look up the definition, which should be in your book, somewhere before this homework exercise. If you can't find it, try Google for a list of sites with definitions, explanations, lessons, etc.

Then use what you know about the slopes of perpendicular lines (here) to find the slope of the line containing the perpendicular. Then find that line's equation (here). Then find the coordinates where the two lines intersect.

If you get stuck, please reply showing your thoughts and efforts so far. Thank you!