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, $color(blue)(1)$ )