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=
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Answer:
(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2
Step-by-step explanation:
Slope "m" of given line is
m = - 4
Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]
P(4, 3)
y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )
(a). y - 3 = - 4 (x - 4)
y = - 4x + 19
(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2