Question

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

Answer 1

B

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

Answer 2

B.

Explanation:

Well if the y intercept is -5 and the y intercept is the point on the line that touches the y axis we can cross out choices C. and D..

And the slope is positive so we can cross out A. So the final answer is B.