Question

(HELP PLEASE)
If a line passes through point (-1,2) and has slope m=a/b for a>0 and b>0, then which of the following points must lie of the graph of this line?
A. (-1-a,2-b)
B. (-1+b,2-a)
C. (-1+b,2+a)
D.(-1+a,2+b)

I think it be between D or B. Im not sure really.

Answer 1

What is the equation of a line?

Answer 2

y=mx+b?

Answer 3

yup, and you are given slope m = a/b, then y =?

Answer 4

oh, you confused , me too. Ok, this b is not the b in m = a/b,

Answer 5

I change a little bit: y = mx + h, ok?

Answer 6

then y=a/bx+h?

Answer 7

m = a/b, hence \(y = \dfrac{a}{b}x +h\)

Answer 8

yup, now find h

Answer 9

do you know how?

Answer 10

no...

Answer 11

you are given the point (-1, 2) that is x =-1, y =2, just plug it into y above.

Answer 12

\(h = y-\dfrac{a}{b}x\) replace the values of x and y to get h

Answer 13

this is like extremely hard

Answer 14

so?? if you have another way, please help us. I know this way only :)

Answer 15

I got it its C.

Answer 16

yup, me too

Answer 17

The point (-1,2) is on this line

the slope is m = a/b, so

slope = rise/run = a/b

rise = a
run = b

therefore you start at (-1,2) and go up 'a' units and go to the right 'b' units. You'll go from (-1,2) to (-1+b, 2+a)