How do you find the x and y intercepts of #y=-x+1#?

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Answer 1 · 2017-02-08T00:20:39

See the solution process below:

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.

This equation is in the slope intercept form (#y = color(red)(-1)x + color(blue)(1)#)

The y-intercept is #color(blue)(b = 1)# or #(0, 1)#

To find the x-intercept set #y# to #0# and solve for #x#:

#0 = color(red)(-1)x + color(blue)(1)#

#0 - 1 = color(red)(-1)x + color(blue)(1) - 1#

#-1 = color(red)(-1)x + 0#

#-1 = color(red)(-1)x#

#color(blue)(-1) xx -1 = color(blue)(-1) xx color(red)(-1)x#

#1 = 1x#

#x = 1#

The x-intercept is #1# or #(1, 0)#