Suppose that the points `(h,k)`, `(1,2)` and `(-3,4)` lie on the line `L_(1)`. If a line `L_(2)` passing through the points `(h,k)` and `(4,3)` is perpendicular to `L_(1)`, then `k//h` equals

Explanation

To solve the problem step by step, we will first find the equation of the line \( L_1 \) using the points given, then find the equation of the line \( L_2 \), and finally use the condition of perpendicularity to find the ratio \( \frac{k}{h} \).

### Step 1: Find the equation of line \( L_1 \)

We have the points \( (1, 2) \) and \( (-3, 4) \).

1. **Calculate the slope (m) of line \( L_1 \)**:
\[
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