What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3?

Answer: Option C

Slope of line y = mx + c is m
y = 2x + c, slope (m₁) = 2
Lines are perpendicular to each other $$m_1=\frac{-1}{m_2}$$
Slope of perpendicular line $$\left(m_2\right)=\frac{-1}{2}$$
on x axis y = 0
Equation of line which passes through (-5, 0)
(y - y₁) = slope (m₂)(x - x₁)
y - 0 = $$\frac{-1}{2}$$ (x + 5)
2y = -x - 5
x + 2y = -5