Need help with this logic puzzle WILL GIVE BRANLIEST TO BEST ANSWER

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

Find an equation for the linear function which has slope -10 and x-intercept -7

Give all possible names for the line shown.calculation tip: lines can be written with either point first.