Question

I
3.) Write the equation of the line that passes through (0,3) and (1.-1) in standard form.

Answer 1

Given:

The points are (0,3) and (1,-1).

To find:

The equation of line passes through these points.

Solution:

Standard form of a line is

`Ax+By=C`

We know that, if a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the equation of the line is

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

The line passes through (0,3) and (1,-1), so the equation of the line is

`y-3=(-1-3)/(1-0)(x-0)`

`y-3=(-4)/(1)(x)`

`y-3=-4x`

Adding 4x and 3 on both sides, we get

`4x+y=3`

Therefore, the standard form of the line is
`4x+y=3`.