Question

Which of the following are AND "point-slope" AND equations AND of AND the AND line AND going AND through (4 6) and (1 2)

Answer 1

first lets find the slope..
slope (m) = (y2 - y1)/(x2-x1)
set 1 (4,6) set 2 (1,2)
m = (2 - 6) / (1 - 4)
m = -4/-3
m = 4/3

y = mx + b using slope 4/3 and either of the points...I am using (4,6)
6 = 4/3(4) + b
6 = 16/3 + b
6 - 16/3 = b
18/3 - 16/3 = b
2/3 = b

your equation is y = 4/3x + 2/3

Answer 2

oh...sorry...you want point slope form...
y - y1 = m(x - x1) using slope 4/3 and either of the points (4,6)
y - 6 = 4/3(x - 4) < -- point slope form

using point (1,2)
y - y1 = m(x - x1)
y - 2 = 4/3(x - 1) < -- point slope form