Question 544698
The definition of slope is change/difference in y values divided by change/difference in x values.
So considering any point (x,y) on the line, and point (-3,-7)
{{{(y-(-7))/(x-(-3))=-2}}} --> {{{(y+7)/(x+3)=-2}}} --> {{{(y+7)=-2(x+3)}}}
That would be the point-slope form of the equation (including the given point), but the slope-intercept form is my favorite, because it is unique to each line:
{{{y+7=-2x-6}}} --> {{{y=-2x-13}}}