Question

Rewrite the following linear equation in general form​

Answer 1

Given:

The linear equation is:

`y+6=-(5)/(2)(x+4)`

To find:

The general form of the given linear equation.

Solution:

The general form of a line is equation is:

`Ax+By=C`

We have,

`y+6=-(5)/(2)(x+4)`

Multiply both sides by 2.

`2(y+6)=-5(x+4)`

`2(y)+2(6)=-5(x)-5(4)`

`2y+12=-5x-20`

Isolating variable terms, we get

`2y+5x=-20-12`

`5x+2y=-32`

Therefore, the general form of the given linear equation is
`5x+2y=-32`.