What is the slope and intercept of $y - (- 4) = - 1 (x - 6)$ $y-(-4)=-1(x-6)$ ?

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What is the slope and intercept of $y - (- 4) = - 1 (x - 6)$ $y-(-4)=-1(x-6)$ ?

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Answer 1 · 2018-08-03T06:35:22

Slope: -1

x-intercept: (2, 0)

y-intercept: (0, 2)

Explanation:

$y - (- 4) = - 1 (x - 6)$ $y - (-4) = -1(x-6)$

We know that the equation is in point-slope form:
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Therefore, we know that the slope is $- 1$ $-1$ .

To find the $x$ $x$ -intercept, plug in $0$ $0$ for $y$ $y$ and solve for $x$ $x$ :
$0 - (- 4) = - 1 (x - 6)$ $0 - (-4) = -1(x-6)$

$4 = - x + 6$ $4 = -x + 6$

$- 2 = - x$ $-2 = -x$

$x = 2$ $x = 2$

The $x$ $x$ -intercept is at $(2, 0)$ $(2, 0)$ .

To find the $y$ $y$ -intercept, plug in $0$ $0$ for $x$ $x$ and solve for $y$ $y$ :
$y - (- 4) = - 1 (0 - 6)$ $y - (-4) = -1(0-6)$

$y + 4 = - 1 (- 6)$ $y + 4 = -1(-6)$

$y + 4 = 6$ $y + 4 = 6$

$y = 2$ $y = 2$

The $y$ $y$ -intercept is at $(0, 2)$ $(0, 2)$ .

Hope this helps!

Answer 2 · 2018-08-04T00:14:54

Slope $- 1$ $-1$ , $x$ $x$ -int $2$ $2$ and $y$ $y$ -int $2$ $2$

Explanation:

Our equation is in point-slope form

$y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$ , where slope $m$ $m$ and points ( $x_{1}, y_{1}$ $x_1,y_1$ ).

We immediately see that our slope is $- 1$ $-1$ . We can find the $y$ $y$ -intercept by converting this to slope intercept form

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

Our equation simplifies to

$y + 4 = - 1 (x - 6)$ $y+4=-1(x-6)$

We can distribute the negative on the right to get

$y + 4 = - x + 6$ $y+4=-x+6$

Lastly, we can subtract $4$ $4$ from both sides to get

$y = - x + 2$ $y=-x+2$

We see that our $y$ $y$ -intercept is $2$ $2$ . What about the $x$ $x$ -intercept? This can easily be found by setting $y$ $y$ equal to zero.

$- x + 2 = 0 \Rightarrow - x = - 2 \Rightarrow x = 2$ $-x+2=0=>-x=-2=>x=2$

Therefore, our slope is $- 1$ $-1$ , our $y$ $y$ -intercept is $2$ $2$ , and so is our $x$ $x$ -intercept.

Hope this helps!

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What is the slope and intercept of $y - (- 4) = - 1 (x - 6)$ $y-(-4)=-1(x-6)$ ?

2 Answers

Explanation:

Explanation:

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