Respuesta :

Answer:

3x + 4y = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{3}{4}[/tex] and c = - 2, hence

y = - [tex]\frac{3}{4}[/tex] x - 2 ← equation in slope- intercept form

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Multiply the terms in the slope- intercept form equation by 4

4y = - 3x - 8 ( add 3x to both sides )

3x + 4y = - 8 ← in standard form

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