Final answer:
The x-intercept is (-1/3, 0) and the y-intercept is (0, 1).
Step-by-step explanation:
To find the x-intercept, we set y=0 and solve for x. In this case, substituting y=0 into the equation y=3x+1 gives us 0=3x+1. Solving for x, we get x=-1/3. So the x-intercept is (-1/3, 0).
To find the y-intercept, we set x=0 and solve for y. Substituting x=0 into the equation y=3x+1 gives us y=3(0)+1=1. So the y-intercept is (0, 1).
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