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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The graph representing the given function is B

  • [tex]f(x) = \dfrac{1}{2} x - 5[/tex]
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The answer is b.

The equation is in the form y = mx + b

The slope (rise over run) is m so it’s 1/2 so the rise is 1 and run is 2.

The y intercept is b, which is -5. The graph intersects y at -5.