Find the equation of the line which passes through the point (1,-2) and is parallel to the line Y = 3x +4.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The line y = 3x + 4 is in slope intercept form and has a slope of 3. A line parallel to this line also has the same slope. This gives the slope of the required line as 3. As it passes through the point (1, -2)

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

=> y + 2 = 3x - 3

=> 3x - y - 5 = 0

The equation of the required line is 3x - y - 5 = 0

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