what is the equation of a line passing through the point (a,b) Andy having a slope of b?

Answer 1

intercept = y - mx x=a, y=b, m=b

= b - ba

y = bx + b - ba

= b(x+1-a)

Answer 2

The equation of a line has the form y=mx+b.

You have given us the slope (m) is "b".

And it passes through the point (a,b)

Starting with point-slope form, then simplifying it to y=mx+b we have

y-b = b(x-a)

y-b = bx - ab

y = bx - ab + b

y = bx + (b-ab)