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

Answer:

(a). y = - 4x + 19 ; (b). y = $\frac{1}{4}$ x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is $\frac{1}{4}$

P(4, 3)

y - $y_{P}$ = m( x - $x_{P}$ )

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

y = - 4x + 19

(b). y - 3 = $\frac{1}{4}$ ( x - 4 )

y = $\frac{1}{4}$ x + 2