Question

find an equation of line described below. write equation in slope intercept form (solved for y), when possible through (-3,3), parallel to the y-axis. Whats the equation of the line?

Answer 1

Check the picture below.

so, let's pick another point on that line, say -3, 0, just to check its slope.

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ 3}})\quad % (c,d) &({{ -3}}\quad ,&{{ 0}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{-3-(-3)} \\\\\\ \cfrac{0-3}{-3+3}\implies \stackrel{und efined}{\cfrac{-3}{0}}\impliedby \textit{thus a vertical line at -3}$