Answer:
3x + y =0
Step-by-step explanation:
We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .
- Since at least two points are required for making a line .
<u>S</u><u>lope </u><u>:</u><u>-</u><u> </u>
=> m = -1-0/3-0
=> m = -1/3
<u>Using </u><u>point </u><u>slope</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>
=> ( x - x1) = m( y - y1)
=> ( x - (-1)) = -1/3( y - 3)
=> (x + 1 )3= -y + 3
=> 3x +3 = -y + 3
=> 3x + y = 0
<u>✔️</u><u> </u><u>Checking</u><u> </u><u>:</u><u>-</u><u> </u>
=> 3(-1) + 3 = 0
=> -3+3=0
=> 0 = 0
<h3>
• Hence the equation can be 3x + y = 0 .</h3>