# Item 11 Graph the linear equation y=3x+1 .

Question
Linear equations and graphs
Item 11 Graph the linear equation y=3x+1 .

2020-12-29

Since the equation is the form of y=mx+b, it is considered to be a linear equation. And the result of the graph will be a straight line. In graphing linear equation, assume that the value of the x-coordinate to be 0 to get the first point in the form (0,y) and assume y-coordinate to be 0 to get the second point in the form (x,0)
Assuming x=0, y=3x+1
y=3(0)+1
y=1 The first point will be (0,1) Assuming y=0, y=3x+1
0=3x+1
$$\displaystyle{x}=-\frac{{1}}{{3}}\ {\quad\text{or}\quad}\ {x}=-{0.333333}$$
And the second point will be $$\displaystyle{\left(-\frac{{1}}{{3}},{0}\right)}$$
Plotting the two points (0,1) and $$\displaystyle{\left(-\frac{{1}}{{3}},{0}\right)}$$ will result in

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