# Which point is on the line that passes through point Z and is perpendicular to line AB?

## Answers

If you are not satisfied with the answer or you can’t find one, then try to use the search above or find similar answers below.

Find similar answersMathematics, added 2020-09-27 20:56:44

How do I solve 5(x-3)^2=125 using the square root method? ...

Mathematics, added 2020-09-27 19:38:42

How do I solve 5(x-3)^2=125 using the square root method? ...

Mathematics, added 2020-09-27 14:41:16

If the height of a cone is cut in half, the volume of the cone is multiplied by what number? ...

Mathematics, added 2020-09-27 13:12:09

If the height of a cone is cut in half, the volume of the cone is multiplied by what number? ...

Mathematics, added 2020-09-26 20:14:38

Mathematics, added 2020-09-26 19:01:28

Mathematics, added 2020-09-26 08:00:10

If y varies inversely as x and y = 27 when x = 2, find x when y = 9. * ...

Answered by

calculistaWe know that point A( -2,4) point B(0,-4) point Z(0,2) step 1 find the slope line AB m=(y2-y1)/(x2-x1)----> m=(-4-4)/(0+2)-----> m=-8/2---> m=-4 step 2 find the slope of the line perpendicular to AB if two lines are perpendicular so m1*m2=-1 m1=-4 m2=1/4 step 3 find the equation of the line perpendicular to AB that passes through point Z m2=1/4 point z (0,2) y-y1=m*(x-x1)----> y-2=(1/4)*(x-0)---> y=0.25*x+2 step 4 analyze each point case a) (-4,1) for x=-4 y=0.25*-4+2----> y=1 1 is equal to 1-------> this point is on the line case b) (1,-2) for x=1 y=0.25*1+2----> y=2.25 2.25 is not -2-------> this point is not on the line case c) (2,0) for x=2 y=0.25*2+2----> y=2.5 2.5 is not 0-------> this point is not on the line case d)(4,4) for x=4 y=0.25*4+2----> y=3 3 is not 4-------> this point is not on the line the answer is the point (-4,1)