Question

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

Answer 1

The point-slope form of a line with a slope of m that passes through the point
\[(x_o,y_o)\]
is:

\[y-y_o = m(x-x_o)\]

Answer 2

I have
y=-bx-b(1-a)
y=bx-b(a-1)
y=1/bx+b(a-1)
y=-1/bx+b(1-a)

:/ I dont know how to get it in the right form, it doesnt look like any point slope i have ever seen

Answer 3

I cant see how they got any of those 4 options, i have no IDEA which one is correct

Answer 4

If we plug in what we know, we'll get:
\[y - b = b(x - a)\]
\[y -b = bx-ab\]
\[y=bx-ab+b = bx+b(1-a)\]

Answer 5

Which is equivalent to:
\[y=bx-b(a-1)\]

Answer 6

oh! thank you! you rock!!!
i have like 5 questions using this!