Unlike classic mathematical 2d graphs with homogeneous time on horizontal axis, here you have time compacted in one point for a given candle, and then a jump along the horizontal line to another candle, during which time is again compacted in one point, etc…
As a consequence, when looking in a lower timeframe at a line coming from a higher timeframe, your lower timeframe line would have a similar slope only if your two points from which it was built are exactly at the same amount of time after the start of their respective candlestick. If not, the slope will be different, resulting in price and line relative positions being different from higher to lower timeframe.
For example, imagine a line in 1h timeframe you draw from 2 points in 2 neighbouring candles (just 1h apart) with 10 points vertical difference, when you go down to 15 minutes timeframe, you expand each 1h candle into 4 x15minutes candles, now consider those 2 cases:
1 – your 1st point is in 1st 15min candle of first hour and 2nd point in last 15min candle of second hour,
2 – your 1st point is in last 15min candle of first hour and 2nd point in first 15min candle of second hour,
you can easily imagine that with these two sets of horizontal coordinates, at equal vertical coordinates 10 points apart vertically for both cases, the slope of the line won’t be the same in these two 15min timeframe cases, yet both cases match a same 1h higher timeframe line…