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In the linear equation y=−5x+9, the slope is:
A) 5
B) -5
C) 9
D) -1/5

1 Answer

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Final answer:

In the equation y=-5x+9, the slope is -5 (option B), as it is the coefficient of the x term in the linear equation, which is in the form y = mx + b.

Step-by-step explanation:

In the linear equation y=-5x+9, the slope is represented by the coefficient of the x term. This is the number that indicates how much y changes for a one unit change in x. In the given equation, the slope is -5, which corresponds to option B. This is because the general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -5 and b = 9. The negative sign indicates that the slope is negative, meaning as x increases, y decreases.

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