The line through 0 4 perpendicular to y 43x 1 Objective 1

The line through (0, 4), perpendicular to y = - 4/3x - 1 Objective: (1.4) Write Equation of Line Satisfying Given Con

Solution

y= -4/3x-1

the slope of line m₁= -4/3

for perpendicular lines m₁m₂ = -1

then slope of perpendicular line (m₂) = 3/4

Then the line which pass from (0,4)

y-y₁ = m₂(x-x₁)

y-4 = 3/4(x-0)

y = 3/4x + 4