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In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
We must select the points of the graph.
point 01: (0 , 1 ) x1 = 0 y1 = 1
point 02: (3 , 2 ) x2 = 3 y2 = 2
Step 02:
Slope formula
[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{2-1}{3-(0)}=\frac{1}{3}[/tex]Slope-intercept form of the line
y = mx + b
b = y-intercept = 1
[tex]y\text{ = }\frac{1}{3}x\text{ +1}[/tex]The solution is:
[tex]y\text{ = }\frac{1}{3}x\text{ + 1}[/tex]