Given:
The equation in point slope form is
[tex]y-4=\dfrac{3}{4}(x+8)[/tex]
To find:
The equation of the same line in standard form.
Solution:
Standard form of a line is
[tex]Ax+By=C[/tex]
We have,
[tex]y-4=\dfrac{3}{4}(x+8)[/tex]
Multiply both sides by 4.
[tex]4(y-4)=3(x+8)[/tex]
[tex]4y-16=3x+24[/tex]
Isolate variable terms.
[tex]-3x+4y=16+24[/tex]
[tex]-3x+4y=40[/tex]
Multiply both sides by -1.
[tex]3x-4y=-40[/tex]
Therefore, the correct option is B.
