Answer:
Graph attached.
Step-by-step explanation:
Given equation:
[tex]y=\dfrac{1}{3}x+5[/tex]
The given equation is a linear equation in slope-intercept form, where 1/3 is the slope and 5 is the y-intercept.
To graph the equation, find and plot at least two points, then draw a straight line through them.
To find the points on the line, input values of x into the equation:
[tex]x = 0 \implies y=\dfrac{1}{3}(0)+5 \implies (0,5)[/tex]
[tex]x=3 \implies y=\dfrac{1}{3}(3)+5 \implies (3,6)[/tex]
[tex]x=6 \implies y=\dfrac{1}{3}(6)+5 \implies (6,7)[/tex]
See attachment for the graph of the given equation.
