Question

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.

Answer 1

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5

Answer:

6x+2y=12

and

3y=9x

Answer 2

For this case we have that the equation of the line in slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cutoff point with the y axis

By definition, if two lines are parallel, then their slopes are equal.

So, all the lines parallel to
`y = 3x + 5`

will be given in the form:

`y = 3x + b`

Where b can take any value.

Answer:

`y = 3x + b`