Question

Tasha wants to graph a line that is parallel to the line with equation y = 3x. Give two examples of linear equations that represent lines she could draw. one that is above the original line and one that is below the original line.​

Answer 1

When two lines are parallel, that means they have the same slope!

The slope is the coefficient of x

In the equation y = 3x, the slope is 3

An example of a line that is above y = 3x is ...

y = 3x + 2

The "+2" shifts the line up by 2 on the y axis

An examples of a line that is below y = 3x is ...

y = 3x - 3

The "-3" shifts the line down by 3 on the y axis