The given line passes through the points (0,-3) and (2,3). what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1)?

Step-by-step explanation:

Given : The given line passes through the points (0,-3) and (2,3).

To Find: What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1)?

Solution:

Points : (0,-3) and (2,3).

To find the equation of given points we will use two point slope form

Formula :  --A

Where m is the slope

So,

Now substitute the values in A

Two lines are said to be parallel when they have same slope

So, The line parallel to the given line will have slope =3

General form of equation of line =

Substitute m = 3

So, parallel line :  ---B

Now this parallel lines passes through point (-1,-1)

So, substitute this point in B

Substitute value of c in B

So, Equation of parallel line =

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1) is  

the radius is 2 times the diameter.

step-by-step explanation: