How do you find the slope that is perpendicular to the line #y=x-3#?

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Answer 1 · 2017-04-21T02:51:36

See the entire solution process below:

The equation given in the problem is in slope intercept form. 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.

For this problem:

#y = color(red)(1)x - color(blue)(3)#

Therefore the slope is: #color(red)(m = 1)#

Let's call the slope of the perpendicular line #m_p#

The slope of a perpendicular line is: #m_p = -1/m#

For this problem then:

#m_p = -1/1 = -1#