Question

Line and passes through C -2,0 in the 1, -3) Quetion of the line in standard form

Answer 1

`\huge\boxed{x+y=-2}`

Explanation:

The standard form of an equation of a line:

`Ax+By=C`

The point-slope form of an equation of a line:

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

where

`m=(y_2-y_1)/(x_2-x_1)`

We have two points (-2, 0) and (1, -3).

Substitute:

`x_1=-2;\ y_1=0;\ x_2=1;\ y_2=-3`

`m=(-3-0)/(1-(-2))=(-3)/(1+2)=(-3)/(3)=-1\\\\y-0=-1(x-(-2))\\\\y=-(x+2)`

`y=-x-2` add x to both sides

`x+y=-2`