slope intercept form for 3x-5x=10

Solve the equation for y; the slope will be the coefficient of the x-term:

        3x - 5y  =  10

              -5y  =  -3x + 10             (subtract 3x from both sides)

                  y  =  (3/5)x - 2           (divide both sides by 5)

The slope is 3/5; the y-intercept occurs at -2.

$${\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{10}} \Rightarrow {\mathtt{x}} = -{\mathtt{5}}$$

Easy x=-5 y appears in a xyz coordinate equations like

$${\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{34}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\sqrt{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{z}}}} \Rightarrow {\mathtt{y}} = {\frac{\left({\sqrt{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{z}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{34}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}{{\mathtt{3}}}}$$