What is the slope and intercept of $x + 9 y = 5$ $x+9y=5$ ?

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Answer 1 · 2017-01-25T22:56:15

The slope is $m = - \frac{1}{9}$ $color(red)(m = -1/9)$

The y-intercept is $b = \frac{5}{9}$ $color(blue)(b = 5/9)$

To find the slope and intercept of this equation it must be in the slope-intercept form.

The slope-intercept form of a linear equation is:

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

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

Solving for $y$ $y$ gives:

$x - x + 9 y = - x + 5$ $x - color(red)(x) + 9y = - color(red)(x) + 5$

$0 + 9 y = - x + 5$ $0 + 9y = -x + 5$

$9 y = - x + 5$ $9y = -x + 5$

$\frac{9 y}{9} = \frac{- x + 5}{9}$ $(9y)/color(red)(9) = (-x + 5)/color(red)(9)$

$(color(red)(cancel(color(black)(9)))y)/cancel(color(red)(9)) = -x/9 + 5/9$

$y = color(red)(-1/9)x + color(blue)(5/9)$

The slope is $color(red)(m = -1/9)$

The y-intercept is $color(blue)(b = 5/9)$

What is the slope and intercept of x+9y=5x+9y=5x+9y=5?