Question

Help me with this problem. Write an equation of line containing the given point and perpendicular to the give line (4-2); 9x+2y=3

help me with this.

Answer 1

We need to find the slope of the original line
One way is to put it in the form y = m x + b
2 y = -9 x + 3
y = -9/2 x + 3/2
so the slope m = -9/2
now the slope of the perpendicular m' = -1/m
= 2/9
so our line has the form
y = -2 x/9 + b
now put 4 in for x and -2 in for y and find b

Answer 2

easy way:
A line perpendicular to 9x + 2y = 3 must be
2x - 9y = k
sub in your given point to find k,
all done!