hayleycollver
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Write the equation of the given line in standard form y=ax+b:
The line containing the midpoints of the legs of a right triangle ABC where A (-5,5), B (1,1) and C (3,4) are the vertices.

Sagot :

mathdragon
Find the distance between the sets of points. 
Use this to determine which sides are the legs.

A to B = sqrt(52) = 7.2111
A to C = sqrt(50) = 7.07106
B to C = sqrt(65)= 8.622577

B to C is hypotenuse

midpoint of A to B is (-2,3)
midpoint of A to C is (-1, 4.5)

The line we are solving for contains these midpoints, so we have to solve for the slope between them and use point-slope form to make the equation of the line.
 slope = 3/2 (or 1.5)
y=m(x-x1)+y1

y=3/2(x- (-2)) +3

y=3/2x+6



Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.