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Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form. (1 points) −three fourthsx + y = 10 3x − 4y = −40 y = three fourthsx + 12 y = three fourthsx + 10

Respuesta :

Texaschic101 Geniusy - 4 = 3/4(x + 8)
y - 4 = 3/4x + 6
-3/4x + y = 6 + 4
-3/4x + y = 10...standard form does not contain fractions
3x - 4y = -40 <=== standard form

Answer:

[tex]3x-4y=-40[/tex]

Step-by-step explanation:

Since, the standard form of a line is,

ax + by = c

Where, a, b and c are any real number.

Here, the given equation of the line,

[tex]y-4=\frac{3}{4}(x+8)[/tex]

[tex]4(y-4)=3(x+8)[/tex]   ( cross multiplication )

[tex]4y-16=3x+24[/tex]    ( Distributive property )

[tex]-16-24 = 3x-4y[/tex]    ( Subtraction property of equality )

[tex]\implies 3x-4y=-40[/tex]

Which is the required standard form of the given line,

Second option is correct.

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