Question

Which of the following are point-slope equations of the line going through (3, 6) and (1, 2)?

All that apply.

A. y - 6 = 2(x - 3)
B. y - 2 = 2(x - 1)
C. y - 2 = 1/2 (x - 1)
D. y - 6 = 1/2 (x + 3)
E. y - 6 = 1/2 (x - 3)
F. y - 2 = 2(x + 1)

Answer 1

Tai!!! :D

Answer 2

if you get the slope 'm' right: you can write the equation as:
\[\huge y-k=m \left( x-h \right)\]for any point (h,k) on the line

Answer 3

\[m={6-2 \over 3-1}=2\]

Answer 4

A,B

Answer 5

Thanks Pax . I got the A , but the B i was still working on. :)

Answer 6

if m is 2:
y-k =2(y-h)
for A. (h,k)= (3,6) plugging in (3. 6 ) gives you 0=0
for B. (h,k)= (1,2) plugging in (1,2 ) gives you 0=0