Given:
The linear equation is:
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
To find:
The general form of the given linear equation.
Solution:
The general form of a line is equation is:
[tex]Ax+By=C[/tex]
We have,
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
Multiply both sides by 2.
[tex]2(y+6)=-5(x+4)[/tex]
[tex]2(y)+2(6)=-5(x)-5(4)[/tex]
[tex]2y+12=-5x-20[/tex]
Isolating variable terms, we get
[tex]2y+5x=-20-12[/tex]
[tex]5x+2y=-32[/tex]
Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].
