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Question #b248c

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Apr 24, 2017

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

Explanation:

A line at $45^{o}$ $45^o$ has a gradient of $1$ $1$ as equal increments in $x$ $x$ give equal increments in $y$ $y$ .

For two perpendicular lines the products of their gradient is $- 1$ $-1$
$m_{1} \cdot m_{2} = - 1$ $m_1*m_2=-1$

As $m_{1} = 1$ $m_1=1$ it follows that $m_{2} = - 1$ $m_2=-1$ .

Now use the formula
$y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$
to find the equation of the line

$y - 0 = - 1 (x - 6)$ $y-0=-1(x- 6)$
$y = - x + 6$ $y=-x+6$

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