Question

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3?

Answer 1

Option 2:
`y - 2 = (1)/(3)(x-3)` is the correct answer.

Explanation:

The equation of a line with given point(x1,y1) and slope m is given by:

`y-y_1 = m(x-x_1)`

The line passes through (x1,y1)

Given

`(x_1,y_1) = (3,2)\\m = (1)/(3)`

=> x1 = 3

=> y1 = 2

Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:

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

Hence,

Option 2:
`y - 2 = (1)/(3)(x-3)` is the correct answer.