<PRE><B>Question 524978</B>
slope = m=5/7, point (1,-6)
Equation of the line point slope form
m=(y2-y1)/(x2-x1)
put the values in above formula
5/7=(y-(-6))/(x-1) 
5/7=(y+6))/(x-1)
5(x-1)=7(y+6)
5x=7y+42+5
5x=7y+47
7y+47=5x
7y=5x-47
y=(5x-47)/7
y=(5/7)x-47/7 (Required Equation of the line)

{{{ graph( 500, 500, -10, 10, -10, 10, y=5x/7-47/7) }}}
</PRE>