# Is my teacher's final answer wrong?

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Hi, for iii) my teacher got x = -2.. however I got x = 2.. if my teacher is correct, how did he get x = -2.. since the math shown kinda skips through that part..

Hi, for iii) my teacher got x = -2.. however I got x = 2.. if my teacher is correct, how did he get x = -2.. since the math shown kinda skips through that part..

##### 1 Answer

Your teacher is correct...

Just note that I worked through all the parts to help you catch your mistake.

#### Explanation:

Let's find the slope from points

Just note here that the slop is also the slope from

Since

Since line

Also, since the triangle

If we set this as our base, then our hight is

This is the length of

We can get two equations from this:

Let the coordinates of point

We can come up with the following:

We also use the distance formula using the fact that the length of segment

We also know

Now, the important part:

We know the distance from

Using our information from the problem, we know that the distance from

We also know that the slope from

Since the line intersects at the origin, the slope is the

Therefore,

Using our information, we have:

Therefore,