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].