Question

ZA and B are vertical angles. If mZA = (5x – 3)º and mZB(5x – 3)º and mZB = (4x + 21)',then find the measure of ZA.

Answer 1

SOLUTION:

Step 1 :

In this question, we are meant to find the slope of the line that passes the points ( -9 , 2 ) and ( 1 , 27) .

We are meant to find the answer in the simplest form.

Step 2 :

We have that:

$\begin{gathered} (x_1,y_1\text{ ) = ( -9 , 2)} \\ (x_2,y_2\text{ ) = ( 1 , 27 )} \end{gathered}$$\begin{gathered} \text{Slope of the line , m = }\frac{y_2-y_{1_{}}}{x_2-x_1} \\ m\text{ =}\frac{27\text{ -2 }}{1\text{ -(- 9) }} \\ m\text{ =}\frac{25}{1+\text{ 9}} \\ m\text{ =}\frac{25}{10} \\ m\text{ = 2. 5} \end{gathered}$

CONCLUSION:

The slope of the line in the simplest form,

$m\text{ = 2. 5}$