Question 44004
you have two sets of x and y coordinates (x1, y1) and (x2, y2)
x1=1/7
y1=1
x2=2
y2=1/2
Below is an EXTREMELY important equation:
{{{(y-y1)/(y2-y1)=(x-x1)/(x2-x1)}}}
put your values in:
{{{(y-1)/(-1/2)=(x-(1/7))/(13/7)}}}
{{{(y-1)=(-1/2)(x-(1/7))(7/13)}}}
{{{(y-1)=(-7/26)(x-(1/7))}}}
{{{(y-1)=(-7/26)x-(1/26)}}}
{{{y=(-7/26)x+(25/26)}}}
the gradient is -7/26.

well done!

I hope this helps.

P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would send me your feedback on my help to adam.chapman@student.manchester.ac.uk