The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope [tex]m=\dfrac{1}{3}\to y=\dfrac{1}{3}x+b[/tex]
and point (9, 7). Substitute:
[tex]7=\dfrac{1}{3}(9)+b[/tex]
[tex]7=3+b[/tex] subtract 3 from both sides
[tex]4=b\to b=4[/tex]
Answer: [tex]y=\dfrac{1}{3}x+4[/tex]
