Question

Which of the following are point-slope equations of the line going through (3, 6) and (1, 2)? Check all that apply. A. y - 2 =1/2 (x - 1) B. y - 6 =1/2 (x - 3) C. y - 2 = 2(x + 1) D. y - 6 =1/2(x + 3) E. y - 2 = 2(x - 1) F. y - 6 = 2(x - 3)

Answer 1

(3,6),(1,2)
slope = (2 - 6) / (1 - 3) = -4/-2 = 2

y - y1 = m(x - x1)
slope(m) = 2
using (3,6).....x1 = 3 and y1 = 6
now we sub
y - 6 = 2(x - 3) <=== this is one

y - y1 = m(x - x1)
slope(m) = 2
using (1,2)....x1 = 1 and y1 = 2
now we sub
y - 2 = 2(x - 1) <== this is one