Question

What is the equation of the graphed line in point-slope form

Answer 1

B.

Because the slope is 2/3 and points are subtracted in point-slope form.

Answer 2

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

Explanation:

We have been given an image of a line on coordinate plane. We are asked to find the equation of our given line in point-slope form.

We know that point-slope form of equation is in format:
`(y-y_1)=m(x-x_1)`, where,

m = Slope of line,

`(x_1,y_1)` = Coordinates of the point on line.

First of all, we will find slope of our given line using the coordinates of points
`(-3,-3)` and
`(3,1)` in slope formula.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(1--3)/(3--3)`

`m=(1+3)/(3+3)`

`m=(4)/(6)`

`m=(2)/(3)`

Upon substituting
`m=(2)/(3)` and coordinates of point
`(3,1)` in point-slope form of equation, we will get:

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

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

Therefore, option B is the correct choice.