Question

Which equation represents a line which is parallel to the line y=-1/4x+71. y=1/4x-32. y=-1/4x-23. y=-4x+74. y=4x+5

Answer 1

We have the line

`y=-(1)/(4)x+7`

we need to remember the slope-intercept form

`y=mx+b`

where m is the slope

the slope of the line given is m=-1/4

We say two lines are parallel if the lines have the same slope

1. y=1/4x-3 m=1/4

2. y=-1/4x-2 m=-1/4

3. y=-4x+7 m=-4

4. y=4x+5​ m=4

as we can see the line 2 is parallel to the line given