Question 1142496
You can immediately write point-slope form  {{{ y-y[0] = m (x - x[0]) }}} :
{{{ y - 3 = -7 (x - (-5)) }}}<br>
{{{ y - 3 = -7x - 35)) }}}<br>

then solve for y to get slope-intercept form:
{{{ highlight( y = -7x - 32 ) }}}