2. come up with the equation of a line that is perpendicular to
y=-4/3x+9 and passes through (6,1)
y=-4/3x+9 and passes through (6,1)
-
Find the gradient of the perpendicular line:
m = - 4 / 3
mm˪ = -1
m˪ = -1 / m
m˪ = 3 / 4
Plug the information into the line formula:
y = m(x - a) + b
y = 3(x - 6) / 4 + 1
4y = 3(x - 6) + 4
4y = 3x - 18 + 4
4y = 3x - 14
m = - 4 / 3
mm˪ = -1
m˪ = -1 / m
m˪ = 3 / 4
Plug the information into the line formula:
y = m(x - a) + b
y = 3(x - 6) / 4 + 1
4y = 3(x - 6) + 4
4y = 3x - 18 + 4
4y = 3x - 14