Write the standard form of the equation of the line through the given point with the given slope. Simplify as much as possible.

Point: (−1,0)

Slope: −2/3

Respuesta :

Answer:

y = -2/3x - 1

Step-by-step explanation:

Answer:

[tex]y =-\frac{2}{3} x - \frac{2}{3}[/tex]

Step-by-step explanation:

Equation of line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here

m=-2/3 and [tex](x_1, y_1)=(-1, 0)[/tex]

Equation of the line passing through the point (-1, 0) with slope -2/3 is

[tex]y-0=-\frac{2}{3} (x-(-1))[/tex]

[tex]y =-\frac{2}{3} (x+1)[/tex]

[tex]y =-\frac{2}{3} x - \frac{2}{3}[/tex]