Question 1083029


 the equation of the line that contains 
the point and P({{{4}}},{{{-7}}}), slope is undefined

In general, when the x-values or x-coordinates is the same for both points, the slope is undefined.The x-coordinate never changes no matter what the y-coordinate is! There is no run! 

remember:
The slope of any {{{vertical}}} line is {{{undefined}}}. 
The slope of any {{{horizontal}}} line is {{{0}}}. 

so, in your case line is {{{vertical}}} and equation is: {{{x=a}}}

if line passes the point and P({{{4}}},{{{-7}}}), equation will be {{{x=4}}}


{{{drawing( 600, 600, -10, 10, -10, 10, 
line(4,-10,4,10),circle(4,-7,.12),locate(4,-7,p(4,-7)),
graph( 600, 600, -10, 10, -10, 10, 0)) }}}