There are infinitely many points that do not lie on the line x + 2y = 9, some of which are (0, 0), (1, 1), (2, 2), (1, 2), (2, 1), (500, 122342), (12122, 567).
To decide if a given point lies on the line put the values for its x and y coordinates into the equation and see if it they equal 9:
for points:
(0, 0): x + 2y = 0 + 2 × 0 = 0 ≠ 9 → (0, 0) is not on the line
(1,0) : x + 2y = 1 + 2 × 0 = 1 ≠ 9 → (1, 0) is not on the line
(1, 2) : x + 2y = 1 + 2 × 2 = 5 ≠ 9 → (1, 2) is not on the line
(1, 4) : x + 2y = 1 + 2 × 4 = 9 = 9 → (1, 4) is on the line
If you had a set of points given to you from which you had to select the one not on the line, you'll need to test each one separately, as above, to find which one does not work.
if your point if 3/4 and your line is y=2x+4 then yes 3/4 does lie on this graph. any point in existence lies on this graph because its domain is all real numbers
Since it is possible to draw a line through any two points, if there is a point that does not lie on the same line, it must be a third point.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
The same line.
An infinite number of points lie on that line. One such would be (40, 65).
if your point if 3/4 and your line is y=2x+4 then yes 3/4 does lie on this graph. any point in existence lies on this graph because its domain is all real numbers
Since no points were given, for any point (x,y), plug the x and y values of the point into the equation. If you get a contradiction, ie 5=3 or something similar, then the point does not lie on the graph.
It looks like this came from some multiple choice question, where you're given several choices. Take each choice and substitute the x and y coordinates into the equation. So for example the point is (0,3), then substitute in and get 2*0 + 3 which equals 3 and satisfies the equation, so the point is on the graph. If the point is (1,1) then 2*1 + 1 = 3 which satisfies the equation, so that point is also on the line. You want to find one where the left side does not equal 3, then that point is not on the graph of the line.
Since it is possible to draw a line through any two points, if there is a point that does not lie on the same line, it must be a third point.
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
The same line.
An infinite number of points lie on that line. One such would be (40, 65).
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
True.
you should know this
No, it does not.
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.