Question

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

a. y=
b. y=

Answer 1

(a). y = - 4x + 19 ; (b). y =
`(1)/(4)` x + 2

Explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is
`(1)/(4)`

P(4, 3)

y -
`y_(P)` = m( x -
`x_(P)` )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 =
`(1)/(4)` ( x - 4 )

y =
`(1)/(4)` x + 2