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 $-\dfrac{1}{6}$.