Question

15 POINTS!!!

The given line passes through the points (0, −3) and (2, 3).
(PICTURE BELOW)



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)?

y + 1 = ______ (x + 1)

Answer 1

1. Find the slope m of the line that passes through points (0,-3) and (2,3) using formula:

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

Then

`m=(3-(-3))/(2-0)=(6)/(2)=3.`

2. Write the equation, in point-slope form, of the line that is parallel to the given line (note that parallel lines have the same slopes) and passes through the point (−1, −1):

`y-(-1)=m(x-(-1)),\\ \\y+1=3(x+1).`

Answer: 3.