You need to compute the coordinate of the mid-point between 1,11 and 7,7. The x coordinate is given by 1+(7-1)/2 = 4 and y is given by 7+(11-7)/2 = 9

Then compute the slope by dividing y by x = 9/4 = 2.25

The point equidistant from the two points can be found out by using the formula ((x1+x2)/2, (y1+y2)/2). So, the point will be ((1+7)/2, (11+7)/2) ==> (4,9).

Now the slope of a line passing through the two points (x1,y1) & (x2,y2) = (y2-y1)/(x2-x1) ==> So, the slope of the line passing the two points (0,0) & (4,9) is = (9-0)/(4-0) ==> 9/4 ==> 2.25

Hope this helps.