The slope intercept from is expresses as :
[tex]\begin{gathered} y=m(x-a)+b \\ \text{where, m is the slope \& (a,b) are the points or coordinates of the line} \end{gathered}[/tex]In the given expression :
-14x-10y-6=0
Simplify the equation and solve for y
[tex]\begin{gathered} -14x-10y-6=0 \\ Divid\text{ the equation by (-2)} \\ \frac{-14x}{(-2)}-\frac{10y}{(-2)}-\frac{6}{(-2)}=\frac{0}{(-2)} \\ 7x+5y+3=0 \\ \text{Subtract 7x+3 from both side} \\ 7x+5y+3-7x-3=0-7x-3 \\ 5y=-7x-3 \\ \text{Divide the equation by 5} \\ \frac{5y}{5}=\frac{-7x}{5}-\frac{3}{5} \\ y=-\frac{7x}{5}-\frac{3}{5} \\ \text{The above equation is the slope intercept form} \end{gathered}[/tex]Answer : y = -7x/5-3/5
