) Suppose line A passes through points (2, -3) and (7, 2) and line B passes through (-3, 7) and (2, 2). Show, algebraically, that lines A and B are perpendicular.

Question

)  Suppose line A passes through points (2, -3) and (7, 2) and line B passes through (-3, 7) and (2, 2).  Show, algebraically, that lines A and B are perpendicular.

texaschic101 · Answer

first you need to find the slopes by using the slope formula. Then compare the slopes. If they are negative reciprocals of each other, then they are perpendicular

$oumya · Answer

slope of line A=m1=(2+3)/(7-2)=1
slope of line B=m2=(2-7)/(2+3)=1
we know that,
if two straight lines are perpendicular..then..
m1*m2=-1
so here m1*m2 is also -1...
so the lines are perpendicular