Question

Find the Equation of the Parallel Line

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Instructions: Find the equation of the line through point (-1, 4) and parallel to
5x +y = 4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for ).


y =

Answer 1

y = -5x - 1

Explanation:

Let the 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 has been given as,

5x + y = 4

y = -5x + 4

Slope of this line = -5

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

m = -5

Parallel line passing through (-1, 4) and slope 'm' = -5 will be,

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 5 + 4

y = -5x - 1

Therefore, equation of the parallel line will be,

y = -5x - 1