Question

A line passes through the point (-3,-2) and has slope 2. What is an equation of that line.

Answer 1

Shamim did well there. But, it can better done like :
Using point - slope form

You're given with :

\({\left\{\begin{matrix} m = 2 \\ x_1 = -3 \\ y_1 = -2 \end{matrix} \right\} }\)


\((y-y_1) = m(x-x_1)\)
\(y - (-2)) = m(x-(-3))\)
\((y+2) = 2(x+3)\)

Simplify it further, and you will get an equation of the straight line passing through the point (-3,-2) and having slope of 2.