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Write the equation of a line that is parallel to the given line.
1. y =- 4x

User Victor Nicollet
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1 Answer

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29 votes

Answer:

Explanation:

A line that is parallel will have the same slope as the reference line. The slope-intercept form of a straight line equation is:

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x=0),

The line y = -4x has a slope of -4 and a y-intercept of 0 (it crosses the y axis when x = 0).

That means any line with the form y = -4x + b will be parallel, since the slopes are both -4.

All that is needed is to choose a value for b, the y-intercept, to be different than 0. Pick any number - all resulting lines will be parallel. I'll chose b = 2.

y = -4x + 2 is parallel to y = -4x

See attached image for these two lines, plus two more I added with different values of b.

Write the equation of a line that is parallel to the given line. 1. y =- 4x-example-1
User Pelicer
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