How do you find the slope of the line $x + y = 7$ $x + y = 7$ ?

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Answer 1 · 2015-08-21T12:00:46

$m = - 1$ $m = -1$

You can easily find the slope of any line by rewriting its equation in sloper-intercept form, which for a general line looks line this

$y = m x + b$ $color(blue)(y = mx + b)" "$ , with

$m$ $m$ - the slope of the line;
$b$ $b$ - the $y$ $y$ -intercept.

Your line equation looks like this

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

To get it to general slope-intercept form, move $x$ $x$ to the right-hand side of the equation

$y = - x + 7$ $y = -x + 7$

Now simply compare the two equations. In your case, you have $b = 7$ $b = 7$ and

$m = - 1$ $m = color(green)(-1)$

How do you find the slope of the line x + y = 7x+y=7x + y = 7?