Answer:
The equation of the required line in the slope-intercept form is
y = -3x + 10
Step-by-step explanation:
i) the required line passes through the point (5, -5)
ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2
Therefore the slope of the given line is -3.
Therefore the slope of the required line is also -3
The equation of the required line in the slope-intercept form is
y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15 ⇒ y = -3x + 10 ∴ 3x + y = 10.
