Question

Write two equations of lines in slope-intercept form that are parallel to the graph of the line in Part I. y=1/2x+5

Explain why the equations of the lines in Part I and Part II are parallel.

Answer 1

The two equations are
`y=(1)/(2)x+5` and
`y=(1)/(2)x`

Explanation:

we have given that : Part I=
`y=(1)/(2)x+5` equation of line

slope intercept form is y=mx+c

the slope of the line Part I is m=1/2

taken another equation of line Part II=
`y=(1)/(2)x`

whose slope of line Part II is m=1/2

since, both equation have same slope therefore these two equation Part II and Part I are parallel

It is also shown by the graph attached.