How do I find the x-intercept or the y-intercept?

The x-intercepts are where the graph crosses the x-axis
To find the x-intercepts of an equation --> substitute in y = 0 and solve for x

The y-intercepts are where the graph crosses the y-axis
To find the y-intercepts of an equation --> substitute in x = 0 and solve for y

e.g. y = x² + 4x + 3

1)To find the x-intercept

Let y=0, then x² + 4x + 3 = 0. 
Now, solve for x, which gives x= 1 , 3     [working excluded here]

So the x-intercept occurs at (1,0), (3,0)

2)To find the y-intercept

Let x=0, then y=3

So the y-intercept occurs at (0,3)

[Would draw graph to highlight answer]