a circle representing a pool is graphed with a center at the origin. grant enters the pool at point a and…
a circle representing a pool is graphed with a center at the origin. grant enters the pool at point a and swims over to a friend who is located at point b. which equation represents grants path? y = 2 - 4x y = 4 - x/2 y = 6 - x/4 y = 8 - 2x
Answer
Explanation:
Step1: Encontrar dos puntos en la recta
Los puntos A(8, 0) y B(- 4, 6) están en la recta que representa el camino de Grant.
Step2: Calcular la pendiente (m)
La fórmula de la pendiente (m=\frac{y_2 - y_1}{x_2 - x_1}). Sustituyendo (x_1 = 8,y_1 = 0,x_2=-4,y_2 = 6), tenemos (m=\frac{6 - 0}{-4 - 8}=\frac{6}{-12}=-\frac{1}{2}).
Step3: Usar la ecuación punto - pendiente (y - y_1=m(x - x_1))
Tomamos el punto A(8,0) y (m =-\frac{1}{2}). Entonces (y-0=-\frac{1}{2}(x - 8)).
Step4: Simplificar la ecuación
(y=-\frac{1}{2}x+4), es decir (y = 4-\frac{x}{2}).
Answer:
(y = 4-\frac{x}{2})