a line passes through the points (1, 1) and (2, 8). write its equation in slope - intercept form. write your…

a line passes through the points (1, 1) and (2, 8). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line passes through the points (1, 1) and (2, 8). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Answer:

$y = 7x - 6$

Explanation:

Step1: Calcular la pendiente

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{8 - 1}{2 - 1}=\frac{7}{1}=7$

Step2: Encontrar la intersección en y

Usamos $y=mx + b$ y un punto, digamos $(1,1)$. $1 = 7\times1 + b$ $b=1 - 7=-6$

Step3: Escribir la ecuación

$y = 7x - 6$