How do you find the slope and intercept for $x + 10 y = 7$ $x+10y=7$ ?

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Answer 1 · 2017-01-08T15:56:54

Convert to slope-intercept form and pull the correct values from this form of the equation. See the full explanation below.

To find the slope and y-intercept we will transform this equation to the slope-intercept form by solving for $y$ $y$ :

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.

$x + 10 y = 7$ $x + 10y = 7$

$x - x + 10 y = - x + 7$ $x - color(green)(x) + 10y = - color(green)(x) + 7$

$0 + 10 y = - x + 7$ $0 + 10y = - color(green)(x) + 7$

$10 y = - x + 7$ $10y = - color(green)(x) + 7$

$\frac{10 y}{10} = \frac{- x + 7}{10}$ $(10y)/color(green)(10) = (-color(green)(x) + 7)/color(green)(10)$

$(color(green)(cancel(color(black)(10)))y)/cancel(color(green)(10)) = -1/10x + 7/10$

$y = color(red)(-1/10)x + color(blue)(7/10)$

The slope is $m = color(red)(-1/10)$

The y-intercept is $b = color(blue)(7/10)$

How do you find the slope and intercept for x+10y=7x+10y=7x+10y=7?