Question

Which equation describes the line which passes through the points (0. 17, 0) and (0, 0.51)

Answer 1

Answer:

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

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

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{0.51-0}{0-0.17}=-3$

The slope intercept form of the line is

$y=mx+b$

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

Equation of the line is

$y=-3x+0.51$

The other way to write the equation is shown below.

The point slope form of the line is

$y-y_1=m(x-x_1)$

$y-0=-3(x-0.17)$                  ....(1)

$y-0.51=-3(x-0)$                 .....(2)

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