Question

Write an equation for the line perpendicular to y=2x 4 that contains (3, -2)?

Answer 1

in the equation y = 2x + 4, you know that the gradient is 2 (the number before x).


for a perpendicular line you need the negative reciprocal of 2, which is -
`(1)/(2)` .

you then need to use the equation
y -
`y_(1)` = m(x -
`x_(1)` )

substitute in your coordinates:

y - -2 = -
`(1)/(2)` (x - 3)


simplify:
y + 2 = -0.5x + 1.5

rearrange:

y = -
`(1)/(2) x` -
`(1)/(2)`