Which graph represents this function f(x) = 1/2x - 5

B

Step-by-step explanation:

We can solve this by reasoning:

GIven that the equation is f(x) = (1/2)x - 5

we first notice that the gradient (represented by the x-coefficient) is (1/2). Because it is a postie value, we expect the graph to have a positive slope (i.e going from bottom left to top right).

By observing the choices, only B and C have this gradient, hence we can ignore A and C

Further, we can see that the constant term in the equation is (-5), this means that the y-intercept occurs at y = -5.

We can see that for C, the graph crosses the y-axis at y = 5, Hence we can ignore C, leaving B as the correct answer

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step-by-step explanation:

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