you can find the slope of a line by having two points. In this case we have 5 different point so we pick two.
so for the first one I will pick (2,17) and (7,37)
we use (y2-y1) / (x2-x1) this is rise over run
plug and chug to get slope.
(37-17)/(7-2)= 4
now use point slope using one of the point that we used to find the slope
y−b=m(x−a) or y-y1 = m (x-x1)
plug and chug again
m=4 ............ point (2,17)
y- 17 = 4 (x- 2)
y= 4x +10
hope this helps