Question

Which equation represents a line that passes through (5, 1) and has a slope of 1/2? Option 1: y - 5 = (1/2)(x - 1) Option 2: y - (1/2) = 5(x - 1) Option 3: y - 1 = (1/2)(x - 5) Option 4: y - 1 = 5(x - 1)

Answer 1

option 3

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b ) a point on the line

here m =
`(1)/(2)` and (a, b ) = (5, 1 )

substitute these values into the point- slope equation

y - 1 =
`(1)/(2)` (x - 5)