Find the slope through each pair of two points. Report answers in simplest form.
1 answer:
Answer:
m=0
Step-by-step explanation:
A general rule to remember is "rise over run" or m=
To find the slope between these two pairs of points:
1. Choose one pair of points to be X1 and Y1 (it doesn't matter which)
In this case, let's use (-11,3) so X1 =-11 and Y1= 3
2. The second pair will be (14,3) so X2 = 14 and Y2=3
3. Applying the equation above:
It becomes: m=
m =
m = 0
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Answer: The coordinates of the circumcenter is .
Explanation:
The coordinates of triangle DEF are D(1,3) E (8,3) and F(1,-5).
Distance formula,
Since triangle follows pythagoras theorem,
Therefore the given triangle is a right angle triangle.
Or plot these points on a coordinate plane. From the figure we can say that the triangle DEF is a right angle triangle.
The circumcenter of a right angle triangle is the midpoint of the hypotenuse.
The hypotenuse is EF. The midpoint of EF is,
Therefore, the coordinates of the circumcenter is .
