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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)

15 POINTSThe given line passes through the points 0 3 and 2 3 PICTURE BELOWWhat is the equation in pointslope form of the line that is parallel to the given lin class=

Respuesta :

frika

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

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}.[/tex]

Then

[tex]m=\dfrac{3-(-3)}{2-0}=\dfrac{6}{2}=3.[/tex]

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):

[tex]y-(-1)=m(x-(-1)),\\ \\y+1=3(x+1).[/tex]

Answer: 3.

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