What is the slope of the line that is parallel with #y=-2x+1#?

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Answer 1 · 2016-12-28T00:36:28

#m = -2#

Because this equation is already in slope-intercept form we can take the slope directly from this equation.

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b# is the y-intercept value.

Therefore, for the equation in this problem the slope is:

#color(red)(m = -2)#

Because a line parallel to this line will have, by definition the same slope, the slope of a parallel line will also be:

#color(red)(m = -2)#