Question

Line k passes through points at (4,1) and (-5,-5). Find the distance between line k and point F(-4,0).

Answer 1

@Hero @Nnesha @mathmate

Answer 2

@Zale101 @amistre64 @StudyGurl14 @SolomonZelman @undeadknight26

Answer 3

y2 - y1/x2 -x1

Answer 4

But isn't that only the slope?

Answer 5

@pandaecat

Question wants length of segment CD.
You will need to establish the line AB, using slope given by (y2-y1)/(x2-x1), and passing through either A or B.
Express the line in general form
Ax+By+C=0
Assume the point C has coordinates (x3,y3), then
length of segment CD (perpendicular distance of point from a line is given by
distance = \(\Large \frac{Ax_3+B y_3 +C}{\sqrt{A^2 +B^2 }}\)