Q: How many lines in this picture contain both points W and K?

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They both have slopes of 3/5 and so it appears that they are parallel lines

Coplanar lines that do not intersect (have no common point) are parallel.Two objects are coplanar if they both lie in the same plane, they must either intersect or be parallel.

All points with x and y that are both non-zero!All points with x and y that are both non-zero!All points with x and y that are both non-zero!All points with x and y that are both non-zero!

Yes.To help visualize, consider this:A 3-legged stool won't wobble on a flat surface (3 points of contact.)The minimum number of points to define two intersecting lines is where the point where the lines intersect, and another unique point on each line. (3 points total) This is represented by where the 3-leg stool touches the flat surface. The flat surface represents any determinant plane.If the lines did not intersect, you would require 4 separate points to define them. This is represented by 4-leg chairs, which by contrast often wobble (if only very slightly), since the extra point is not required to define the flat surface that it rests on (the determinant plane)In essence, 'a plane is determined by two intersecting lines' is the same as saying 'a plane is determined by three uniquepoints', which are, in both cases true.

lines which lie in same pane are known as parallel lines or lines which do not intersect are known as parallel lines they extend in both the direction

Related questions

One.

If there are no common points but both lines lie n the same plane they are considered "coplanar points"

Points do not extend, lines do.

none

15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.

One.

No. Two distinct points define a single line.

points, lines and planes. points are always represented by a dot lines has extend in both direction and planes extend in all direction. this is true !

Yes

Two intersecting straight lines uniquely define one single plane.

They are both vertical lines.

If both lines have the same slope and the same y-intercept, they're the same line. So, infinite intersection points, I guess.