Through: (3,5), slope= 5\3

Slope intercept form
y=mx+b
m=slope
b= y intercpet

slope=5/3

in (x,y) format
3=x
5=y
subsitute and solve for b

5=5/3 times 3+b
5=5 times 3/3+b
5=5 times 1+b
5=5+b
subtract 5 form both sidesw
0=b

the equatino is

y=5/3x

Really long apparently