Geometry. Calculate the ordinate of a point on a segment, knowing its beginning, end and abscissa

Question

Algorithms

I didn’t study well at school, fell to the floor and hit my head on the floor and everything that was in it evaporated ...
The ice rink moved my hands and beat off my Google skill ... and I haven’t slept for many hours at all, and all because I can’t calculate Y points lying on the segment AB (these two points are known) knowing X. If you throw in the formula, I will be very grateful

Answer 1

Y = ((By - Ay) / (Bx - Ax)) * (X - Ax) + Ay

Answer 2

en.onlinemschool.com/math/library/analytic_geometr...

Answer 3

Where the world is heading...
A picture from Wikipedia
The abscissa is written through and through.