How do you write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form?

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Answer 1 · 2016-01-22T03:57:15

The equation is

$y=2x-2$

The two Points are -

$(3, 4);(-3, -8)$

Then -

$x_1=3$
$y_1=4$
$x_2=-3$
$y_2=-8$

The formula you have to use is -

$(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)$
$y-4=(-8-4)/(-3-3)(x-3)$
$y-4=(-12)/(-6)(x-3)$
$y-4=2(x-3)$
$y-4=2x-6$
$y=2x-6+4$

The equation is

$y=2x-2$