Answer:
x - 2y - 7 = 0
Step-by-step explanation:
To find the equation of a line that passes through (-5, -3) and (3,1)
All we need to do is to use the find the slope and then plug it into the straight line equation
straight line equation : y -
= m (x -
)
= -5
= -3
= 3
= 1
m = slope =
-
/
- 
= 1 -(-3) / 3 -(-5)
=4/8
=1/2
m=1/2
So, we can now plug in our value into the equation;
y -
= m (x -
)
y - (-5) =
[x - (-3)]
y + 5 =
(x+3)
y + 5 = 
cross-multiply
2(y + 5) = x + 3
2y + 10 = x + 3
take 2y and 10 to the right-hand side of the equation;
x + 3 - 2y - 10 = 0
x - 2y - 7 = 0
Therefore the equation of the line is x - 2y - 7 = 0