"if a is not equal to 0, find the intercepts of the graph of y=ax+b in terms of a and b?"

Answer 1

The y intercept is where the line hits the y axis.
That is when x = 0
so
y = 0 x + b = b

The x intercept is where the line hits the x axis.
That is when y = 0
0 = a x + b
so
x = -b/a

(That is why a can not be equal to 0. If it were the x axis intercept would be undefined. This makes sense because if a = 0 then y = b, a constant which is a horizontal line.)

Answer 2

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