Question

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

on
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)
(23)
-
N
54-3-2-1
2
3 4
5
(0, -3)
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Answer 1

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

Explanation:

step 1

Find the slope of the given line

`m=(3+3)/(2-0)`

`m=3`

step 2

Find the slope of the line that is parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

the slope is equal to
`m=3`

step 3

Find the equation in point slope form

we have

`m=3`

`point (-1,-1)`

The equation of the line into point slope form is equal to

`y-y1=m(x-x1)`

substitute

`y+1=3(x+1)` ----> equation of the line into point slope form