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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 :

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

then

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]m=\frac{3-3}{2-0}[/tex][tex]m=\frac{0}{2}=0[/tex]

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

the line formula is

[tex]y-y1=m(x-x1)[/tex]

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

x1 = -1

y1 = -1

[tex]y+1=0(x+1)[/tex]

then the equation in slope point form is

[tex]y+1=0(x+1)[/tex]

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