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

Point slope form is 
(y - y1) = m(x-x1)

m is a slope, m=1/3.
x1 = 3,
y1 = 2

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

Answer 2

Answer:

$y-2= \frac{1}{3}(x-3)$ is the point slope form

Step-by-step explanation:

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

Slope of the line is $\frac{1}{3}$

The line passes through the point (3,2)

To find equation of the line we use formula

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

m= 1/3 , x1= 3, x2=2 Plug in all the values in the formula

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

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

Now add 2 on both sides

$y= \frac{1}{3}x+1$ is the slope intercept form