Hey i needhelp with a question if someone can show me step by step that would be great ill be giving out B.A?

it says





Determine the diameter of the largest circle that can be drawn between the parallel lines y=2x and y=2x-5Hey i needhelp with a question if someone can show me step by step that would be great ill be giving out B.A?
It's the same distance as the distance between the two lines. Since the distance between two parallel lines is the length of the line segment connecting them which is perpendicular to them, you need to construct a line perpendicular to these two lines. Which particular line it is doesn't matter, just so long as it runs perpendicularly to these two lines. Then find the two points where this line intersects the two parallel lines, and use the distance formula to find the distance between these two points. That's your answer.Hey i needhelp with a question if someone can show me step by step that would be great ill be giving out B.A?
sqrt(5)


The perpendicular line throogh the origin intersects the line y = 2x-5 at (2,-1). So distance between lines is sqrt(5)