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