Question

Según el mapa de Bora una isla de la polinesia de acuerdo con las coordenadas de P1 bahía norte y P2 Playa fea la ecuación de la recta (ordinaria) que pasa por P1 (2,5) y P2 (0,-1) es :
Y =5x-13
Y =3x-1
Y =5x-5
Y =3x+20

Answer 1

Answer: second option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the points $P1\ (2,5)$ and $P2\ (0,-1)$, we can find the slope with the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting values, we get:

$m=\frac{-1-5}{0-2}=3$

Now, we must substitute the slope and the coordinates of one  of the given points, into the equation $y=mx+b$ and solve for "b":

$-1=3(0)+b\\\\b=-1$

Therefore, the equation of this line in Slope-Intercept fom is:

$y=3x-1$