Question

Find the point on the line 2 x + 7 y + 4 =0 which is closest to the point ( 0, 1 )

Answer 1

let P be that point
slope of given line is -2/7
so slope of line from P to (0,1) is 7/2
and since (0,1) is the y-intercept,
its equation is y = (7,2)x + 1

solve the two equations to find P

use substitution, i.e.,
2x + 7((7/2)x + 1) = -4

etc

Answer 2

i found x value of P how do I find the y value of P?

Answer 3

sub it back in the original equation.