Question #4c20e

1 Answer
R. Nguyen
Feb 1, 2018

The slope of a line that is parallel to the line whose equation is #4x + y - 2 = 0# is #-4#.

Explanation:

The equation #4x + y - 2 = 0# is currently in standard form. To find the slope of a line that is parallel to this line, we need to first know the slope of our current line.

In order to find the slope, we can rearrange our equation so it's in the more useful "slope intercept" form. That is to say, isolate #y#.

#color(red)(4x) + y color(red)(- 2) = 0#

#y = color(red)(-4x + 2)#

So, as the slope of our line is #-4#, the slope of a line parallel to it must also have a slope of #-4#.

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