Question #e7d7d

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Question #e7d7d

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Answer 1 · 2017-03-18T16:31:22

See explanation

Explanation:

Compare to the standardised equation of a strait line $y=mx+c$

Where $m$ is the gradient (slope) and $c$ is the y-intercept.

Given:

$y=x+1$
$y=x-1$

Although not written the variable $m$ is there. It is of value 1.

So both lines have the same gradient (slope -> m=1)

As each 'crosses' the y-axis (y-intercept) in different places and they are parallel to each other they never cross, So there is not a common value

THUS IT IS $ul("WRONG")$ TO STATE THAT: $" "x+1=y=x-1$
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I am only doing this for one of the equation. You can do the other one by following the same method.

For $y=x+1$

Determine the x-intercept (crosses the x-axis at $y=0$ )

Set $y=0=x+1$

Subtract 1 from both sides $=> x=-1$

Determine the y-intercept (crosses the y-axis at $x=0$ )

Set $x=0 ->y=0+1 => y=1$
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Tony B

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Question #e7d7d

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