Question

please read the instructions
answer activity 1 and 2 show your solution​

Answer 1

Answer:

answer for the given problem is given

Answer 2

For Activity 1.

Figure 1.

Definition of Rise :-

• The difference in elevation between points is called the rise.

Definition of Run :-

• The distance between the points is called the run. 

To calculate Rise :-

Let us suppose that rise is 'y' units

$\bf\implies \:6y = 30$

$\bf\implies \:y = 5$

$\bf \:So, \: rise \: is \: 5 \: units$

To calculate Run :-

Let us suppose that run is 'x' units.

$\bf\implies \:6x = 10$

$\bf\implies \:x = \dfrac{10}{6} = \dfrac{5}{3}$

$\bf \:So, run \: is \: \dfrac{5}{3} \: units$

To find the slope :-

$\bf \:slope = \dfrac{rise}{run}$

$\bf\implies \:slope = \dfrac{5}{\dfrac{5}{3} } = 3$

For figure 2.

$\bf \:Rise = y_2-y_1 = 4 - 2 = 2$

$\bf \:Run = x_2-x_1 = 3 - 1 = 2$

$\bf\implies \:slope \: = \dfrac{2}{2} = 1$

For Activity 2.

Formula of slope,

$\bf \:slope = \dfrac{y_2-y_1}{x_2-x_1}$

$\bf \:1. \: slope = \dfrac{8 - 2}{1 - 0} = 6$

$\bf \:2. \: slope = \dfrac{ - 5 - 8}{ - 2 + 1} = 13$

$\bf \:3. \: slope = \dfrac{7 - 7}{9 - 4} = 0$

$\bf \:4. \: slope = \dfrac{5 - 5}{4 + 11} = 0$

$\bf \:5. \: slope = \dfrac{ - 12 - 15}{9 + 5} = - \dfrac{27}{14}$