How do you write the equation in standard form given m = 1 and (3,3)?

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Answer 1 · 2017-11-28T15:39:05

$y = x$ $y = x$

Given:
Slope (m) = 1
Coordinate : (3,3)

The standard form a of line is:
$A x + B y = C$ $Ax + By = C$

First, we represent the equation in its Slope - Intercept form with the information given, that is;

$y - y_{1} = m (x - x_{1})$ $y - y_"1" = m(x - x_"1")$

We know, m = 1 and the coordinate given is (3,3). Substituting these values in the equation, we get;

$y - 3 = 1 (x - 3)$ $y - 3 = 1(x - 3)$
$y cancel(-3) = x cancel(- 3)$
$color(red)(y) = color(red)(x)$