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Write the equation of a line that is parallel to Y =3x-2 that passes through (4,1)

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6 votes

Answer:

The equation of the line is y = 3x - 11.

Explanation:

We are given the equation of a line:


\bullet \ \ \ y = 3x -2

We are also given a point at which the line passes through.


\bullet \ \ \ (4, 1)

With parallel lines, it is important to note:

  • Parallel lines have the same slope.
  • Parallel lines must have a different y-intercept.

We can use the point-slope equation to find the equation of the line:


\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11

Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.

User Harshal Patil
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