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.

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=(y_2-y_1)/(x_2-x_1)`

Substituting values, we get:

`m=(-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`