How do you find the slope and y-intercept for the given equation y+x=1?

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Answer 1 · 2017-01-05T14:37:26

To find the slope and y-intercept of the equation we need to convert the equation to slope-intercept form. See full explanation 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.

Therefore, we need to solve the equation given in the problem for #y#:

#y + x = 1#

#y + x - x = -x + 1#

#y + 0 = -x + 1#

#y = -x + 1#

which is also the same as:

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

Remember from above, 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.

So for our equation:

The slope or #color(red)(m = -1)#

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