Question

See image below to help:

Answer 1

a) parallel

b) same

c) neither

Explanation:

Line L: y = 1/2 x + 5/2

slope = m = 1/2

b = 5/2

a)

4y = 2x + 5/2

y = 2/4 x + 5/8

y = 1/2 x + 5/8

slope = m = 1/2

b = 5/8

Same slope as line L. Different y-intercept as line L.

This line is parallel to line L.

b)

2y = x + 5

y = 1/2 x + 5/2

slope = m = 1/2

b = 5/2

Same slope and y-intercept as line L.

This is the same line as line L.

c)

2y = 1/2 x + 5

y = 1/4 x + 5/2

slope = m = 1/4

b = 1/4

Different slope as line L. Same y-intercept as line L.

This line is neither line L nor parallel to line L.