# Thread: What does this question mean?

1. ## What does this question mean?

Given that the linear transformation $\left(\begin{array}{cc} x' \\ y' \end{array} \right) = \left(\begin{array}{cc} 3 & 2 \\ 1 & 4\end{array} \right)\left(\begin{array}{cc} x \\ y \end{array} \right)$ moves point $(x,y)$ to point $(x',y')$, determine m such that a point on the line $y=mx$ moves to the line $y=mx$

I don't get this sentence.

Determine m such that a point on the line $y=mx$ moves to the line $y=mx$
move to the same line???

2. Yes, stays on the line.
This is equivalent to saying that the vector with "slope" m is an eigenvector...

3. Oh

So it is saying find the slope, m, where after this transformation, both points will be in the line y=mx.

Is my understanding correct?

4. Yes it is!
Give it a try and report back if you still have problems.