Answer:
Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
We have the equation of the line in the point-slope form:
[tex]y-4=\dfrac{3}{4}(x+8)[/tex]
Convert it to the standard form:
[tex]y-4=\dfrac{3}{4}(x+8)[/tex] multiply both sides by 4
[tex]4y-16=3(x+8)[/tex] use the distributive property
[tex]4y-16=3x+24[/tex] add 16 to both sides
[tex]4y=3x+40[/tex] subtract 3x from both sides
[tex]-3x+4y=40[/tex] change the signs
[tex]3x-4y=-40[/tex]
