The lines that pass through points 4 -6 2 -3 and 6 5 3 3 on a grid are the lines y=x.
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They are intersecting lines.
You plot the x value in conjuction to the y value. For example, if 6 is the x value and 6 is also the y-value you would find it on the x-values line and search for 6 on the y-values line and plot the point where the lines intersect. The coordinates or the point would be (6,6).
A shape that has 6 points is called a hexagon.
- If you're working on a single sheet of paper (2-D), then you can draw four lines that intersect in 1, 2, 3, 4, 5, or 6 points. - If in 3-D space, then you can also draw four lines that don't intersect at all.
The greatest number of intersection points with just four lines is 6.
28 points. Each added line n intersects (n-1) other lines. 7 + 6 + 5 + 4 + 3 + 2 +1 = 28 The formula is P = n(n-1)/2, which here is 8x7/2 = 28 It is possible to have any number of points between 28 and 1 if multiple lines intersect at the same point.
No, four lines can can have 6 total intersections. They would be Ab, Ac, Ad, Bc, Bd, and Cd
First you draw a big multiplication sign, and then you draw another line vertical to the right of the sign (so it intercects both lines), and then you draw the final line horizontally above the sign (so it intercects all three lines), and you have 6 points of intercection :)
10. Each additional line can only intersect each of the previous lines once, so for two lines, there can be only 1 intersection, for three there can be up to 3 intersections (1+2), for four there can be up to 6 intersections (3+3), and for five there can be up to 10 (6+4). This trend continues as you increase the number of lines: 6 lines: 15 possible intersections (10+5) 7 lines: 21 possible intersections (15+6) 8 lines: 28 possible intersections (21+7) and so on...
The only lines that are in the same plane that do not intersect are: 1. Lines of finite length (eg 1 6" line on the floor at one end of the room and another 8" line at the other end) 2. Parallel lines
there are 6 lines can pass through 4 noncollinear points.
This one is much more straightforward. There are 5C2 = 10 ways to choose two parallel lines from the set of five. There are 4C2 = 6 ways to choose two parallelograms from a set of four. Any parallelogram is uniquely determined by one pair of lines from the five, and one pair of lines from the four. Thus, the number of possible parallelograms is(5C2)*(4C2) = (10)*(6) = 60
If no pair of lines is parallel and if each pairwise intersection is distinct, there will be 6 points of intersection.
The three points on a line form ONE line; the fourth point forms THREE additional lines, one with each of the first three points. So, four in total.
The lines that pass through points 4 -6 2 -3 and 6 5 3 3 on a grid are the lines y=x.