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given the eaquation y-4=3/4 (x+8) in the point-slope form, identify the equation of the same line in standard form.​

Answer :

gmany

Answer:

[tex]\large\boxed{3x-4y=-48}[/tex]

Step-by-step explanation:

The standard form of an equation of a line

[tex]Ax+By=C[/tex]

We have the eqution 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+32[/tex]          add 16 to both sides

[tex]4y=3x+48[/tex]           subtract 3x from both sides

[tex]-3x+4y=48[/tex]           change the signs

[tex]3x-4y=-48[/tex]

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