Answer:
#1 b) [tex]y=\frac{1}{2}x+3[/tex] and c) [tex]y=\frac{1}{2}x[/tex]
#2 a) [tex]y=\frac{1}{2}x+4[/tex] and d) [tex]y=\frac{1}{2}x+1[/tex]
Step-by-step explanation:
Parallel lines have the same slope.
#1 a) [tex]y=4[/tex]
b) [tex]y=\frac{1}{2}x+3[/tex]
c) [tex]y=\frac{1}{2}x[/tex]
d) [tex]y=2x[/tex]
Th equation in option b) and c) are parallel because they have the same slope.
The slope these two lines is [tex]\frac{1}{2}[/tex]
#2 The given lines are
a) [tex]y=\frac{1}{2}x+4[/tex]
b) [tex]x=\frac{1}{2}[/tex]
c) [tex]2x+y=1[/tex]
or
[tex]y= -2x+1[/tex]
d) [tex]y=\frac{1}{2}x+1[/tex]
Th equation in option a) and d) are parallel because they have the same slope.
The slope these two lines is [tex]\frac{1}{2}[/tex]
