Answer to Question #258741 in Analytic Geometry for Rakib

Question

Find r so that the line through (2; 6) and (- 4; r) is as follows:

ii. Perpendicular to x + 2y = 1

Answer 1

$y=1/2-x/2$

 perpendicular slope:

$m=2$

equation of perpendicular line:

$y=2x+b$

for  point (2; 6):

$6=4+b$

$b=2$

$y=2x+2$

for  point (- 4; r):

$r=-8+2=-6$