Select the Graph of the Function that Passes Through (1/2, 5)

Choose the graph of the function that passes through the point $(\frac{1}{2},5)$

To solve this problem, we'll proceed by comparing each answer choice through substitution:

• Choice 1: $y = -4x$
  Substitute $x = \frac{1}{2}$: $y=-4\times\frac{1}{2}=-2$
  Does this equal 5? No, so this choice is incorrect.

• Choice 2: $y = 4x$
  Substitute $x = \frac{1}{2}$: $y=4\times\frac{1}{2}=2$
  Does this equal 5? No, so this choice is also incorrect.

• Choice 3: $y = -4x + 3$
  Substitute $x = \frac{1}{2}$: $y=-4\times\frac{1}{2}+3=-2+3=1$
  Does this equal 5? No, this choice is incorrect as well.

• Choice 4: $4x = y - 3$
  Substitute $x = \frac{1}{2}$ and $y = 5$: $4 \times \frac{1}{2} = 5 - 3 \$ which simplifies to$2 = 2 \$
  This equation holds true with the given point.

Therefore, the solution to the problem is $4x = y - 3$.