# Math

posted by .

Use the distance formula to determine whether the points lie on the same line.
(0,4),(7,-6),(-5,11).
I know the distance formula, but I don't see how that will help me find out if they lie on the same line.

• Math -

distance between (0,4) and (7,-6) = √(49+100) = √149
distance between (7,-6) and (-5,11) = √(144+289) = √433
distance between (0,4) and (-5,11) = √(25+49) = √74

if they are collinear, then
√74 + √149 = √433
IS it ??

√74 + √149 = 20.80888088
√433 = 20.80865205
difference is .000228

had you simply graphed it, you would not have noticed the difference, but there is a difference, so the points are NOT collinear.

check: slope of 1st segment = -10/7
slope of another segment = 7/-5

since -10/7 ≠ -7/5 , they are not collinear.
(notice the slopes are close)
-1.42857 vs -1.4 , angles are 55.0° vs 54.5°

## Similar Questions

Algebra! How is the distance formula and the pythagorean theroem similar?
2. ### Algebra 2

1. Give 3 points that lie on the line 4x-y=6. 2. Give 3 points that lie on the line 3x+2y=6. 3. Give 3 points that lie on the line y= -4. Can someone please help because I have no clue how to do these problems.
3. ### Algebra 2

1. Give 3 points that lie on the line 4x-y=6. 2. Give 3 points that lie on the line 3x+2y=6. 3. Give 3 points that lie on the line y= -4. Can someone please help because I have no clue how to do these problems
4. ### Algebra 2

1. Give 3 points that lie on the line 4x-y=6. 2. Give 3 points that lie on the line 3x+2y=6. 3. Give 3 points that lie on the line y= -4. Can someone please help because I have no clue how to do these problems
5. ### CALCULUS 3

Use the triple scalar product to determine whether the given points lie in the same plane. A(1, 2, 3), B(3, -4, 8), C(7, -1, 1), D(5, 5, -4)
6. ### Geometry

4.Determine which point does not lie on the graph of the line y=x-3 a. (-10, 13) b. (-10-13) c. (-8, -11) A?
7. ### Math: Algebra

The points (5,2), (-10,-2), and (t,01) lie on the same line. Find the value of t. Please help me!
8. ### Math

Rewrite the following definition as a biconditional: Points that lie on the same line are collinear. A.) If a point lies on a line, then it is collinear. B.) If a point lies on a line with another point, then the two points are collinear. …
9. ### Math

Any 2 points determine a line. If there are 6 points in a plane, no 3 of which lie on the same line, how many lines are determined by pairs of these 6 points?
10. ### Math

A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are points on line m, where the distance from B to A is equal to the distance from A to C. How many points on line 'l' are equidistant from points B and C?

More Similar Questions