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4. Which graph represents the equation 12 = 3x + 4y? Explain how youknow. *УТ4S4ONO-4444

4. Which graph represents the equation 12 = 3x + 4y? Explain how youknow. *УТ4S4ONO-example-1

1 Answer

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The equation of a straight line can be written as

y = mx + c

where

m = slope

c represents y intercept

The y intercept is the point where the line cuts the y or vertical axis

From the given equation,

12 = 3x + 4y

4y = - 3x + 12

y = - 3x/4 + 12/4

y = - 3x/4 + 3

thus, y intercept = 3

The graphs whose y intercept is 3 are the first and second graphs. Since the slope of the equation is negative(- 3/4), the line would slide downwards. Thus, the correct option is the first graph

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