0
Since any 2 points determine 1 line, take 2 of the points and find the equation of the line drawn thru these 2 points.
Substitute the x and y of the either point into the equation and find the y-intercept (b)
Then, substitute the x and y of the 3rd point into the equation and see if the both sides of the equation are =.
(y2-y1) ÷ (x2 - x1) = slope
y = slope * x + b
Point # 1 = (6, 5)
Point # 2 = (10, 25)
Point # 3 = (12, 30)
Point # 4 = (12, 35)
(y2 - y1) ÷ (x2 - x1) = slope
(25 - 5) ÷ (10 - 6) = slope
(20) ÷ (4) = slope
Slope = 5
y = m * x + b
y = 5 * x + b
Substitute the x and y of the point (6, 5) into the equation and find the y-intercept (b)
y = 5 * x + b
5 = 5 * 6 + b
5 = 30 + b
b = -25
y = 5 * x - 25
.
Check your points
Point # 1 = (6, 5)
5 = 5 * 6 - 25
5 = 30 - 25 OK
.
Point # 2 = (10, 25)
25 = 5 * 10 - 25
25 = 5 * 10 - 25 OK
.
Then, substitute the x and y of the 3rd point into the equation and see if the both sides of the equation are
Point # 3 = (12, 30)
.
y = 5 * x - 25
30 = 5 * 12 - 25
30 = 60 - 25 = 35
Point # 3 = (12, 30) is not on the line
.
.
Point # 4 = (12, 35)
35 = 5 * 12 - 25
35 = 60 - 25 =35
Point # 4 = (12, 35) is on the line
Add your answer:
Earn +20 pts
Three points determine a plane.?
Any three points that are non-collinear (not on the same line) will determine a plane.
Find the number of diffrent segments formed by 8 collinear points?
8 collinear points determine 28 unique line segments
If three points are coplanar they are also collinear?
no.
If four points are collinear they are also coplaner?
I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.
Three points are collinear true or false?
Not enough information. Collinear means the points are on the same line. If you have any three points, they may, or may not, be on the same line.
True or false Any three points can be the verticies of a triangle?
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
Three collinear points determine a plane?
Yes.
What do three non-collinear points determine?
For instance a plane.
Which set of points does not determine a spherical triangle?
Three non-collinear points do not determine a unique spherical triangle.
How do you determine if 2 points are collinear?
2 points determine a straight line and are always, by definition, collinear.
Is every set of three points a collinear?
no,three points can be non collinear
The statement Three non-collinear points determine a plane is an example of?
A definition, perhaps.
What is the difference between collinear and non collinear point?
Collinear points are three or more points lying on the same line.Non-collinear point are when less than three (not including three) points lie on a line.
When you have three collinear points there is exactly one?
When you have three collinear points there is one gradient. I'm not sure what your question is specifically but when points are collinear they have the same gradient.
When you say three points collinear?
Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.
Three non-collinear points determine a?
Plane. (That's why a 3-legged stool never wobbles.)
Three points determine a plane.?
Any three points that are non-collinear (not on the same line) will determine a plane.
