Answer:
[tex]d)\ y=\frac{1}{3}x +2[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b\\y=\frac{1}{3}x +b[/tex]
(3, 3)
[tex]y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b[/tex]
[tex]y=\frac{1}{3}x +2[/tex]
Check your answer:
[tex]y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3[/tex]
This statement is true
Hope this helps!
