Respuesta :

Answer:

The equation of line which passes through the points (0. 17, 0) and (0, 0.51) is [tex]y=-3x+0.51[/tex].

Step-by-step explanation:

It is given that the line passing through the points (0. 17, 0) and (0, 0.51).

The slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0.51-0}{0-0.17}=-3[/tex]

The slope intercept form of the line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

Equation of the line is

[tex]y=-3x+0.51[/tex]

The other way to write the equation is shown below.

The point slope form of the line is

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

[tex]y-0=-3(x-0.17)[/tex]                  ....(1)

[tex]y-0.51=-3(x-0)[/tex]                 .....(2)

Therefore equation of line which passes through the points (0. 17, 0) and (0, 0.51) is [tex]y=-3x+0.51[/tex].