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parallel lines homework

Sagot :

First, take into account that two parallel lines have the same slope m.

The given line y = -1/3 x - 1 has a slope of -1/3.

That is, the slope of the required line is -1/3.

Moreover, consider that a way of writting the equation of a line is:

y - yo = m(x - xo)

where (xo,yo) is a point on the line and m is the slope.

Use the point (xo,yo) = (3,2) and replace the values of the coordinates into the previous equation:

y - 2 = -1/3(x - 3)

solve the previous equation for y:

y -2 = -1/3 x + 1

y = -1/3 x + 1 + 2

y = -1/3 x + 3

Hence, the equation of the parallel line is y = -1/3 x + 3

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