Answer:

Step-by-step explanation:
<em><u>Find intersection of the given lines :</u></em>
x - 2y = 0 => x = 2y ----------- ( 1 )
3x + y = - 5 -------------------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
3x + y = - 5
3 ( 2y ) + y = - 5
6y + y = - 5
7y = - 5

Substitute y in ( 1 ) :
x = 2y


<em><u>To find the equation of the line passing through ( - 3, 2) and point of intersection : </u></em>
Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.
So step 1 : <em><u>Find slope , m:</u></em>
![[ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20where%20%5C%20%28x_1%2C%20y_%201%20%29%20%3D%20%28%20-3%2C%202%20%29%20%5C%20and%20%5C%20%28x_2%2C%20y_%202%20%29%20%3D%20%28%20%5Cfrac%7B-10%7D%7B7%7D%20%2C%20%5Cfrac%7B-5%7D%7B7%7D%29%20%5C%20%5D)

Step 2 : <em><u>Equation of the line :</u></em>
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