Question

The line through the points (h, 3) and (4,1) intersects the line 7x-9y = 19 at right angle. Find the value of h.

Answer 1

∴ Slope = m₁ = - a/b = - 7/-9 = 7/9

Given points are (h, 3) and (4, 1)

∴ Slope of the line joining these two points

= m₂ = (y₂ - y₁)/(x₂ - x₁) = (1 - 3)/(4 - h) = - 2/(4 - h)

Since the given line and the line passing through the given points are perpendicular to each other, then