Question

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

Answer 1

y - y₁ = m(x - x₁)
y - 5 = 1²/₃(x - 3)
y - 5 = 1²/₃(x) - 1²/₃(3)
y - 5 = 1²/₃x - 5
+ 5 + 5
y = 1²/₃x

Answer 2

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