Respuesta :

Answer:

Option B. -3/2

Step-by-step explanation:

To obtain the sum of the slope and y-intercept of the line 2y – 3 = –6x, we must obtain the slope and the y-intercept of the equation. This can be obtain as follow:

2y – 3 = –6x

Make y the subject of the equation:

2y = –6x + 3

Divide both side by 2

y = –6x/2 + 3/2

y = –3x + 3/2

Comparing the above equation with:

y = mx + c

The slope = m = –3

y-intercept = c = 3/2

The sum of the slope and y-intercept is given by:

–3 + 3/2 = –3/2

Therefore, the sum of the slope and y-intercept is –3/2.

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