SOLUTION: Determine if the points form a right triangle on the coordinate plane. (1,-3), (3,2), (-2,4)

Question 1180530: Determine if the points form a right triangle on the coordinate plane.
(1,-3), (3,2), (-2,4)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
see if two lines are perpendicular, or have negative reciprocal slope products.
Can use point slope formula to get equation of lines-y-y1=m(x-x1), m slope, (x1, y1) point
slope of first two is 5/2 (line is y-2=(5/2)(x-3), or y=(5/2)x-5.5)
second and third, line is y-4=(-2/5)(x+2), or y=(-2/5)x + 3.2
of second and third is 2/-5.
of third and first is 7/-3
yes, they will, since the product of the first two slopes is -1, and their intersection at (3, 2) is the vertex of the right angle.

RELATED QUESTIONS
Graph the points A(5, �4), B(1, �2), and C(3, 3) on the same coordinate... (answered by solver91311)

On a coordinate plane, what is the distance between the points (�3, 2) and (5,... (answered by mananth)

The center of a circle is the origin of a rectangular coordinate plane. If (-4,0), (0,4)... (answered by Boreal)

The points (3, 2) and (k, -8) have a slope of . Algebraically, find the value for k.Three (answered by ikleyn)

A line contains points (2, -2) and (-4, 1). Another line graphed in the same coordinate... (answered by Fombitz)

How do I graph points (i.e (0,0), (3,-2), (4,-5)) on a coordinate... (answered by lwsshak3)

Choose the plot that shows the points (7, 1), (2, - 3), (5, 0), ( - 2, 6), and ( -... (answered by Theo)

on a coordinate plane what is the distance between (-3 , 2)and (5, -1) (answered by jim_thompson5910)

the equation y -2=3(x + 2) is in stanard form. graph the equation on a coordinate... (answered by stanbon)