Mini Lecture
Find the slope through the given points.

1. \((3,\, 1)\) and \((5,\, 4)\)

2. \((-3,\, 2)\) and \((3,\, -2)\)

3. Find the slope of the line with an \(x\)-intercept of \(4\) and a \(y\)-intercept of \(2\).

4. Find \(a\) if the line through \((5,\, a)\) and \((4,\, 2)\) has a slope of \(3\).

5. Find \(y\) if the line through \((2,\, y^2)\) and \((1,\, y)\) is \(\bot\) to a line with slope \(-\dfrac{1}{6}\).