What is the equation in standard form of a parallel line that passes through (0,-3) Y-3=3(x+1)?

Expert Answers

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Any two parallel lines always have the same slope.

The equation of the given line is in the point-slope form, `y - y_0 = m ( x - x_0 ).` Here `m` is the slope and it is equal to `3` as we see. Therefore, our new line must have the same slope.

And it is given that the line in question must go through the point `( 0, -3 ).` Now we have absolutely enough information to write its equation. In the point-slope form it will be

`y - ( -3 ) = 3 ( x - 0 ),` or the same may be written as `y + 3 = 3 x .`

The standard form of a linear equation is `A x + B y = C .` Here we have `-3 x + y = -3` (`A = -3,` `B = 1,` `C = -3` ).

All these equations state the same straight line.

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