To find the slope-intercept form, we observe that the line is intercepting the y-axis at 7.
Now, we use the slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's replace the points (3,6) and (6,5).
[tex]m=\frac{5-6}{6-3}=\frac{-1}{3}=-\frac{1}{3}[/tex]
We use the slope-intercept formula to replace the slope and the y-intercept.
[tex]\begin{gathered} y=mx+b \\ y=-\frac{1}{3}x+7 \end{gathered}[/tex]
Hence, the equation is
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