Question

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

Answer 1

Given the line passes through the point (0,3 ) and (2, 3)

then

`m=(y2-y1)/(x2-x1)`
`m=(3-3)/(2-0)`
`m=(0)/(2)=0`

since the lines are parallel to each other the slope in both lines are the same

the line formula is

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

since the line passes through the point (- 1, - 1) then

x1 = -1

y1 = -1

`y+1=0(x+1)`

then the equation in slope point form is

`y+1=0(x+1)`