Question

Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of 1/2 ..

y − 6 = 1/2(x + 3)
y = 1/2x − 6
y + 3 = 1/2(x − 6)
x − 2y = 12

Answer 1

The point-slope form of the equation the line that passes through the point (a,b) and has the slope m is

y-b = m(x-a)

Therefore, the equation the line that passes through the point (6, -3) and has the slope 1/2 is

y - (-3) = 1/2 (x - 6)

y + 3 = 1/2 (x-6)

Answer 2

\[y-y _{1}= m(x-x _{1})\]
where \[(x _{1},y _{1}) = (6,-3)\]
and m = 1/2
so which do you think fits?