1. N is a midpoint of the segment KL, then N has coordinates
2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is
3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is
4. Comparing the expressions for the areas you have that the area 
is equal to the area 
. This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.
You calculate it by taking the change in y's over the change in x's. So (y1-y2)/(x1-x2). You get the equation (-5 - 3)/(5 - 7) which equals 4. 4 is the slope.
Answer:
Step-by-step explanation:
<u>The two points:</u>
<u>The distance:</u>
Slope = y2-y1 / x2-x1
= 24-19/9-4
= 5/5
= 1
solve for b
y=1x+b
19=1(4)+b
19=4+b
15=b
the equation of the line is y=x+15
