How do you write an equation given (7,3) (3,7)?

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Answer 1 · 2016-03-04T01:48:10

$y = x - 4$

The formula for slope is $m =(y_2 - y_1)/(x_2-x_1)$

For the points $(7,3)$ and $(3,7)$ where
$x_1 = 7$
$y_1 =3$
$x_2 = 3$
$y_2 = 7$

$m =(y_2 - y_1)/(x_2-x_1)$

$m =(7 - 3)/(3-7)$

$m = 4/-4$

$m = -1$

To determine the equation of the line we can use the point slope formula and plug in the values given in the question.

$(y - y_1) = m(x - x_1)$

$m = 1$
$x_1 = 7$
$y_1 = 3$

$(y - 3) = 1(x - 7)$

$y - 3 = x - 7$

$y - 3 + 3 = x - 7 + 3$

$y = x - 4$