How do you find the slope and intercept of $y = - x - 7$ $y=-x-7$ ?

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Answer 1 · 2018-08-03T06:38:38

Slope: -1

x-intercept: (-7, 0)

y-intercept: (0, -7)

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

This equation is in slope-intercept form:
www.geogebra.org

Based on the image, we know that the slope is the value multiplied by $x$ $x$ , so the slope is $- 1$ $-1$ .

We know the $y$ $y$ -intercept is $b$ $b$ , or $- 7$ $-7$ , so it is at $(0, - 7)$ $(0, -7)$ .

To find the $x$ $x$ -intercept, plug in $0$ $0$ for $y$ $y$ and solve for $x$ $x$ :
$0 = - x - 7$ $0 = -x - 7$

$7 = - x$ $7 = -x$

$x = - 7$ $x = -7$

The $x$ $x$ -intercept is at $(- 7, 0)$ $(-7, 0)$ .'

Hope this helps!

Answer 2 · 2018-08-04T00:08:41

Slope $- 1$ $-1$ , $y$ $y$ -int $- 7$ $-7$ , $x$ $x$ -int $- 7$ $-7$

The good thing is that this equation is in slope-intercept form

$y = m x + b$ $y=mx+b$ , with slope $m$ $m$ and a $y$ $y$ -intercept of $b$ $b$ .

By pattern matching, we see that our slope is $- 1$ $-1$ , and our $y$ $y$ -intercept is $- 7$ $-7$ .

We can find our $x$ $x$ -intercept by setting $y$ $y$ equal to zero. We get

$- x - 7 = 0 \Rightarrow - x = 7 \Rightarrow x = - 7$ $-x-7=0=>-x=7=>x=-7$

Therefore, our slope is $- 1$ $-1$ , our $y$ $y$ -intercept is $- 7$ $-7$ , and our $x$ $x$ -intercept is $- 7$ $-7$ .

Hope this helps!

How do you find the slope and intercept of y=-x-7y=−x−7y=-x-7?