Question

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

Answer 1

Answer:

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

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{3-6}{1-0}$

$m=\frac{-3}{1}$

$m=-3$

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.

Answer 2

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