Coordinates along lines in a Triangle

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I've just lumbered myself with a bit of a maths problem.

I have the triangle below

triangle

Its 3 points are at these coordinates - $(-4.2,0),\,(0, 2.7),\,(5, 0)$.

I know all of my coordinates along the $x$-axis $(-4.2,-4.1\cdots4.8, 4.9, 5.0)$.

Is it possible to find the Y coordinates along the triangle's lines that correspond to each of the Y coordinates?

Better yet, is there a tool?

Forgive me for not knowing the correct terminology, maths was never my strong point.

Edit -

Hopefully my next image will better illustrate what I need -

image

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What you need to do is find the functions $f, g$ corresponding to the two non-horizontal sides of the triangle. Let the left side be defined as $y = f(x), x \in [-4.2, 0]$, while the right side is defined as $y = g(x), x \in [0, 5]$. Given the coordinates of the vertices of the triangle, you can calculate the slope of each line segment, then use either point-slope form or slope-intercept form to determine $f$ and $g$. With those, given an $x$-coordinate, you can find the matching $y$-coordinate with either $f(x)$ or $g(x)$, depending on whether $x < 0$ or $x > 0$.