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

Solution (By Examveda Team)

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