Answer: y = -2x + 1 or y +2x - 1 = 0
Explanation
Recall, equation of a line passing through two coordinates is
y - y₁ = y₂ - y₁ ( x - x₁ )
₋₋₋₋₋₋₋₋ x
x₂ - x₁
note , (x₁ = -3), (x₂ = 1), (y₁ = 7), (y₂ = -1)
Now substitute for those values in the above equation
y - (7) = -1 - 7
------ X ( x - (-3)
1 - (-3)
y - 7 = -8/4 X ( x + 3 )
y - 7 = -2(x + 3 )
y - 7 = -2x - 6
The equation now
y = -2x -6 + 7
y = -2x + 1 or
y + 2x - 1 = 0.