Question

Find the shortest distance from the given point to the given line. Round to the nearest tenth, if necessary. ( 6 , 5 ) and 7x + y + 23 = 0

Answer 1

There's a formula/equation that describes the shortest distance between a line and a point;
Let's called P a point (P1,P2) and Ax+By+C=0 a line, the the shortest distance between 'em is given by

\[\dfrac {|AP_{1}+BP_{2}+C|} {\sqrt {A^2+B^2}} \]
Now, just replace what you have, your point is (6,5) so P1=6 and P2=5, A=7, B=1 and C=23
Got it?