What is the slope of this line?

Question

I have a lattice that has infinite length (directions) in $+x$ (leftwards) and $+y$ (downwards). What is the slope-value of the line shown on the graph when the magnitude of the line increases?

My guess is that there is a fraction there, but I dont know how to find it. Ok, after counting the cells of the interior rectangle of $3\times5$ I found out it might be $3/5 = 0.6$. But dunno if its correct.

Answer 1

We have

• $\Delta x =10$

• $\Delta y =15$

then

• slope $= \tan \theta =\frac{\Delta y}{\Delta x}=\frac{15}{10}=\frac32$