Write the equation, in point-slope form, of the line passing through the points (7, 12) and (10, 11) help?

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Write the equation, in point-slope form, of the line passing through the points (7, 12) and (10, 11) help?

i need help

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Answer 1 · 2018-04-10T05:03:39

See below.

Explanation:

First, find the gradient (slope).
$12 - \frac{11}{7} - 10 = \frac{1}{- 3}$ $12-11/7-10 = 1/-3$

$y = m x + c$ $y = mx + c$
$m$ $m$ = gradient
$c$ $c$ = $y$ $y$ -intercept
$y = (\frac{1}{- 3}) x + c$ $y = (1/-3)x + c$
$12 = (\frac{1}{- 3}) (7) + c$ $12 = (1/-3)(7) + c$
$12 = - \frac{7}{3} + c$ $12 = -7/3 + c$
$12 + \frac{7}{3} = c$ $12 + 7/3 = c$
$\frac{43}{3} = c$ $43/3 = c$

Hence, the equation is:
$y = (\frac{1}{- 3}) x + \frac{43}{3}$ $color(red)(y = (1/-3)x + 43/3$

I hope that helps!

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Write the equation, in point-slope form, of the line passing through the points (7, 12) and (10, 11) help?

i need help

1 Answer

Explanation:

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