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

Sagot :

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
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