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Given that the points 16 -5 and -40 16 lie on a line what is the equation of the line?
Wiki User
∙ 9y ago
The gradient m between two points (x0, y0) and (x1, y1) is given by
m = change_in_y/change_in_x = (y1 - y0)/(x1 - x0)
Equation of a line through a point (x0, y0) with gradient m is given by:
y - y0 = m(x - x0)
Thus for the points (16, -5) and (-40, 16):
m = (16 - -5) / (-40 - 16) = 21/-56 = -3/8
y - -5 = -3/8(x - 16)
→ 8y + 40 = -3x +48
→ 8y + 3x = 8
Wiki User
∙ 9y ago
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What do you call two points that lie on the same line?
Any two points lie on the same line, since a line can be drawn through any two points.Three points that lie on the same line are described as being "collinear" points.
What are two or more points called if they lie on the same line?
Points on the same line are collinear (co-linear) points.
What is the prediction method used to estimate a point on a line that does not lie between the given points?
The answer is linear extrapolation.
What are three or more points not all of which lie on the same line?
if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane
Points that do not all lie on the same line are called?
Noncollinear points are points which are not all on a common line.
What are the points that lie on the line 3x-y2?
1
Do four points lie on the same plane?
Yes, when they are the coordinates of a straight line equation.
In general how many planes are there which contain any number of given points?
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
How to determine if points lie on a straight line?
Take any two points and form the equation for a straight line. If all the remaining points satisfy the equation, then they lie on astraight line. Else, they don't. Here's an example. Consider n points as P1(x1, y1), P2(x2, y2), ...., Pn(xn, yn). In order to determine if P1, P2, ..., Pn lie on a straight line, form the straight line equation with P1 and P2 as: y-y1= m * (x - x1), where the slope m = (y2-y1)/(x2-x1). Then try to satisfy this equation by the remaining points P3, P4, ..., Pn. That is, verify the following: Is y3-y1= m * (x3 - x1)? Is y4-y1= m * (x4 - x1)? ... Is yn-y1= m * (xn - x1)? If all of the above is true, then the points lie on a straight line.
What do you call two points that lie on the same line?
Any two points lie on the same line, since a line can be drawn through any two points.Three points that lie on the same line are described as being "collinear" points.
What are two or more points called if they lie on the same line?
Points on the same line are collinear (co-linear) points.
What can you sa about the coordinates of all points that lie on the line bisecting the second and the fourth quadrants?
They satisfy the equation x + y = 0
If points of a line lie on a plane does the whole line lie on the plane?
Yes.
What are collinear points?
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.
What is the prediction method used to estimate a point on a line that does not lie between the given points?
The answer is linear extrapolation.
What is collinear and non collinear points?
Collinear pointsPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.
What are points that don't lie on the same line?
they are noncolinear if there are more than 2 points, if not then any two points always lie on the same line
