Question

View the graph below. Use the information to determine the distance from the point to the line.
2x-y = 3; (2,6)

Answer 1

im postin the picture

Answer 2

Please help

Answer 3

hint: the point of intersection is approximately (1.46, 6)
1) 2√10
2) D = √5 = 2.2
3) D = √2 = 1.4
4) 5

Answer 4

i would say √5

Answer 5

if need explanation tell, :)

Answer 6

please explain

Answer 7

Pretend that you are trying to learn about a line segment, who's two endpoints are the coordinate of the point, and the coordinate of the intersection.

The length of a line segment can be found using the distance formula:\[d=\sqrt{(x _{2}-x _{1})^{2}+ (y _{2}-y _{1})^{2}}\]

Answer 8

ok. The way line equation is written is colled vector form (or cartesian). It says basicly that the projection of position vector on the vector (2,-1) which is perpendicular to the line , is equal 3 for the points on the line.
For the point not on the line you can find their distance to it, finding their position vector projection on the vector (2,-1) by puging the values in the equation and resting 3, which is the distance to the origin. Hope you understand...:)

Answer 9

just think about dot product

Answer 10

oh .. thanks for the help