Given the equation y = 3/4x - 6 .

Question

Part 1: Write TWO equations of lines in slope-intercept form that are PARALLEL to the given line, y = 3/4x - 6. Then EXPLAIN how you know the equations you chose are parallel.

Line One: y=____________

Line Two: y=____________

Answer 1

Line One: y = 3/4x + 2
Line Two: y = 3/4x - 4

To know that these equations are parallel to the given line y = 3/4x - 6, we can see that all three equations have the same slope of 3/4. When two lines have the same slope, they are parallel to each other.