Question

What is the equation in point−slope form of the line passing through (0, 6) and (1, 3)?

A. (y − 3) = −3(x − 1)

B. (y + 3) = 3(x + 1)

C. (y + 3) = −3(x + 1)

D. (y − 3) = 3(x + 6)

Answer 1

a is the correct answer. slope is 6-3/0-1=3/-1=-3
so y-3 =-3(x-1)

Answer 2

A.
`(y-3)=-3(x-1)`

Explanation:

We have been given coordinates of two points (0, 6) and (1, 3). We are asked o find the equation of line passing through the given points in point- slope form.

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

`m=\text{Slope of line}`,

`(x_1,y_1)=\text{Coordinates of a point on line}`

First of all, we will find the slope of line using coordinates of given point in slope formula as shown below:

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

`m=(3-6)/(1-0)`

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

`m=-3`

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

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

Therefore, option A is the correct choice.