What is the formula for finding the slope of a line?

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To find the equations of the medians of a triangle with vertices J(2,-2), K(4,-1), and L(-2,-5), calculate the midpoints of the sides and use the slope formula. The midpoint of a line segment is determined by averaging the coordinates of its endpoints. For the perpendicular bisector of a chord defined by points C(-2,0) and D(4,-4), first find the midpoint and then calculate the slope of the line segment, applying the negative reciprocal to determine the slope of the bisector. The final equation should be in the form y=mx+b. Understanding these concepts is crucial for solving the homework problems effectively.
Dgolverk
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Hello,
I can't understand 2 questions from my math homework can you please explain how I am supposed to do that?

1. Find the equations of the medians of the triangle with vertex coordinates at J(2,-2) K(4,-1) and L(-2,-5).

2. Find the equation of the perpendicular bisector of a chord of a circle, given that the end points of the chord are C(-2,0) and D(4,-4).

Thanks a lot!
 
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Try drawing a diagram (with axes on it already).
 
It's supposed to be an equation - y=mx+b
Thanks
 
Dgolverk said:
Hello,
I can't understand 2 questions from my math homework can you please explain how I am supposed to do that?

1. Find the equations of the medians of the triangle with vertex coordinates at J(2,-2) K(4,-1) and L(-2,-5).
What is the definition of vertex?
(If (a,b) and (c,d) are the endpoints of a line segment, the midpoint is at
((a+c)/2, (b+d)/2).)

2. Find the equation of the perpendicular bisector of a chord of a circle, given that the end points of the chord are C(-2,0) and D(4,-4).
perpendicular bisector of any line segment passes through the midpoint.
Also, it slope is -1/m where m is the slope of the first line segment.
 
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