Provide three examples of using the concept of slope in real-life situations.

If the area of the triangle formed by the points $(1,-1), (-4,6)\text{ and }(-3,-5)$ is $A$ square units, find the value of $A$.

Find the area of the triangle formed by the points $(-10,-4), (-8,-1)\text{ and }(-3,-5)$.

Determine whether the set of points are collinear?

$\left(-\frac{1}{2},3\right),(-5,6) \mathrm{and} (-8,8)$

Determine whether the set of points are collinear?

Vertices of given triangle are taken in order and the area is provided aside. In this case, find the value of $p^{\text{'}}$

Vertices of given triangle are taken in order and the area is provided aside. In this case, find the value of $p^{\text{'}}$

In the following, find the value of $\text{'}a\text{'}$ for which the given points are collinear.

$(2,3),(4,a)$ and $(6,-3)$

In the following, find the value of $\text{'}a\text{'}$ ' for which the given points are collinear.

$(a,2-2a),(-a+1,2a)$ and $(-4-a,6-2a)$