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You look for the value of 0 in the y column, and find out what x has to be for y=0. This value of x is you x-axis intercept. (Reverse "x" and "y" in the above description to find the y-intercept, if there is one).
When the x-intercept is equal to zero, the value of y is the y-intercept. If you don't have zero on the table, use the formula y=mx+b, where m is the slope, and b is the intercept.
solve the x and you find the y
To find the y intercept put zero in for x and solve. To find the x intercept put zero in for y and solve. (0,8) and (-8,0)
To find the x-intercept, plug 0 in for y: 0 = -x-1, so x = -1. To find the y-intercept, plug zero in for x: y=-0-1, so y = -1 The x-intercept is (0,-1) and the y-intercept is (-1,0)