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Answer:
y = 1/3x
Step-by-step explanation:
It is impossible to know the exact equation of the graph without actually seeing the graph itself or atleast having more information. Therefore, using the information provided and assuming that the graph crosses both the x and y-axis at point (0, 0) then the equation would be the following
y = 1/3x
This equation shows that the graph has a slope of 1/3 and crosses the x and y axis at point (0, 0) like mentioned above and shows in the picture attached below.
The equation of a line is a way to represent of the line which lies on a point on the xy-coordinated.
The equation of the line with the slope 1/3 is,
[tex]y=\dfrac{1}{3} x+b[/tex]
The equation of a line is a way to represent of the line which lies on a point on the xy-coordinated with and informed about the steepness and the direction of the line.
Standard form of the equation of a line can be given as,
[tex]y=mx+b[/tex]
Here, [tex]x,y[/tex] is the coordinates points on which the line lies, [tex]b[/tex] is the y intercept of the line and [tex]m[/tex] is the slope of the line.
Given information-
James has to plot a line on the graph.
The slope of the line is 1/3.
As the slope of the line is 1/3. The equation of the line with slope 1/3 can be given using the above equation.
Thus the equation of the line is,
[tex]y=\dfrac{1}{3} x+b[/tex]
Hence the equation of the line with the slope 1/3 is,
[tex]y=\dfrac{1}{3} x+b[/tex]
Leran more about the equation of a line here;
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