What would the equation be of a straight line that passes through the points (1,1) and (3,3) ??

write the equation for the line:

y= mx+ b
put the first set of points in..
1=1m + b then the second equation
3=3m + b subtract the equations...
2=2m so you know m.
Put that into either equation and solve for b.

i don't quite understand what you mean .
will m = 1 ??

so that would mean b = 0 ?

yes, slope is 1

so would the equation would be (1,0) ?

sorry i mean y = 1 x 1 + 0 ??