Hallar la ecuación explicita de la recta que pasa por el puntos A Y b ( - 3 - 5) y B (5, 3)?

Solución

<img src="https://tex.z-dn.net/?f=%5Ctextup%7BLos%20puntos%20son%3A%7D%5C%5C%20A%3D%28-3%2C-5%29%5C%5CB%3D%285%2C3%29%5C%5C%5Ctextup%7BLuego%20la%20ecuaci%5C%27on%20de%20la%20recta%7D%5C%5C%5Ctextup%7Bque%20pasa%20por%20dos%20puntos%20es%3A%7D%5C%5Cy-y_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%28x-x_%7B1%7D%29%5C%5C%5Ctextup%7BSustituyendo%20las%20coordenadas%2Cen%20la%7D%5C%5C%5Ctextup%7Becuaci%5C%27on%20anterior%20se%20obtiene%3A%7D%5C%5Cy-%28-5%29%3D%5Cfrac%7B3-%28-5%29%7D%7B5-%28-3%29%7D%28x-%28-3%29%7D%5C%5Cy%2B5%3D%5Cfrac%7B3%2B5%7D%7B5%2B3%7D%28x%2B3%29%5C%5Cy%2B5%3D%5Cfrac%7B8%7D%7B8%7D%28x%2B3%29%5C%5C%5Ctextup%7BSimplificando%20y%20transponiendo%20se%20tiene%3A%7D%5C%5Cy%2B5%3D1%28x%2B3%29%5C%5Cy%2B5%3Dx%2B3%5C%5Cy-x%3D3-5%5C%5C-x%2By%3D-2%5C%5C%5Ctextup%7BPor%20lo%20tanto%20la%20ecuaci%5C%27on%20expl%5C%27icita%20es%3A%7D%5C%5Cy%3D-2%2Bx%5C%5Cy%3Dx-2" />

Saludos.