Point slope is written as y - y1 = m(x -x1)
Where x1 and y1 are the given point and m is the slope:
point slope :
Y-2 = 7(x-1)
slope intercept is written as y = Mx + b where m is the slope and b is the y intercept:
musing the slope you have y = 7x + b
Now replace y and x with the given point to solve for b:
2 = 7(1) = b
2 = 7 + b
Subtract 7 from both sides to get b = -5
now replace b in the equation to get:
Y = 7x-5