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

Answer:

Option 2: $y - 2 = \frac{1}{3}(x-3)$ is the correct answer.

Step-by-step 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

$(x_1,y_1) = (3,2)\\m = \frac{1}{3}$

=> x1 = 3

=> y1 = 2

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

$y - 2 = \frac{1}{3}(x-3)$

Hence,

Option 2: $y - 2 = \frac{1}{3}(x-3)$ is the correct answer.