Question

Find the Equation of the Parallel Line
Instructions: Find the equation of the line through point (-4, 1) and parallel to y = -1/2 x-2. Use a forward slash
(i.e. "/") for fractions (e.g. 1/2 for).
y =

Answer 1

The equation of the parallel line will be y = -1/3x + 7/3.

What is the equation of line?

The general equation of a line parallel to the given line is,

y - y' = m(x - x')

Where m = slope of the line

And line passes through (x', y')

Equation of a line given as,

y = -1/2 x-2

The slope of this line = -1/2

By the property of parallel lines "the slope of the parallel lines are same",

m = -1/2

Parallel line passing through (-4, 1) and slope 'm' = -1/2 will be,

y - 1 = -1/3(x - 4)

y - 1 = -1/3x + 4/3

y = -1/3x + 7/3

Therefore, the equation of the parallel line will be y = -1/3x + 7/3

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