solve for y. then choose the slope and y - intercept of the line represented by 3x + 2y = - 4.

solve for y. then choose the slope and y - intercept of the line represented by 3x + 2y = - 4.

solve for y. then choose the slope and y - intercept of the line represented by 3x + 2y = - 4.

Answer

Explanation:

Step1: Solve for ( y )

Starting with ( 3x + 2y=-4 ). Subtract ( 3x ) from both sides: ( 2y=-3x - 4 ). Divide each term by ( 2 ): ( y =-\frac{3}{2}x-2 ).

Step2: Identify slope and ( y )-intercept

The equation ( y = mx + b ) (slope - intercept form) where ( m ) is the slope and ( b ) is the ( y )-intercept. For ( y =-\frac{3}{2}x-2 ), the slope ( m =-\frac{3}{2} ) and the ( y )-intercept ( b=-2 ).

Answer:

The equation solved for ( y ) is ( y =-\frac{3}{2}x - 2 ). The slope is ( -\frac{3}{2} ) and the ( y )-intercept is ( -2 ).