Which is the distance between the point with the coordinates (1, 2) and the line with the equation 2x-3y=-2?

Question

Which is the distance between the point with the coordinates (1, 2) and the line with the equation  2x-3y=-2?

akashdeepdeb · Answer

Distance = Perpendicular yeah? :D

akashdeepdeb · Answer

Yes?? :D

akashdeepdeb · Answer

Okay as you aren't replying let me just tell you directly!
After you get the slope of the line!

Form a line equation with the point given and the SLOPE derived [By teh point-slope equation of a line]
You'd get the equation of the perpendicular line!

After that solve the 2 lines for 1 solution [one given line and the LINE dervied]

After you get that point [which is the point on the line given]
calculate the distance between the point given and the POINT derived.
That IS the perpendicular distance between the 2 points or the distance between the point and the line! :D

Did you understand? :)

anonymous · Answer

im sorry i had to get off the computer but yes i get everything you told me. it makes sense! :)

akashdeepdeb · Answer

:)