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

Video Solution

Solution Steps

00:00 Find on which line the point is

00:03 In each point, the left number represents the X-axis and the right represents Y

00:06 Let's substitute the point in each line equation and see if it's possible

00:14 Not possible, therefore the point is not on the line

00:17 Let's use the same method and find which line contains the point

00:20 Let's substitute in this line and check if it's possible

00:25 Not possible, therefore the point is not on the line

00:28 Let's substitute in this line and check if it's possible

00:37 Not possible, therefore the point is not on the line

00:40 Let's substitute in this line and check if it's possible

00:46 Possible, therefore the point is on the line

00:49 And this is the solution to the question

Step-by-Step Solution

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 $4x = y - 3$ .