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MariettaO [177]
4 years ago
12

Which equation represents the line that passes through (-6, 7) and (-3, 6)

Mathematics
1 answer:
Yanka [14]4 years ago
8 0

Answer:

x + 3y - 16 = 0

Step-by-step explanation:

When two points, say $ (x_1, y_1) $ and $ (x_2, y_2) $ are given, the equation is determined using Two - point form.

The two - point form is as follows:

$ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $

Here: $ (x_1, y_1) = (-6, 7) $ and $(x_2, y_2) = (-3, 6) $.

Substituting in the formula we get the equation of the line as:

$ \frac{y - 7}{6 - 7} = \frac{x + 6}{- 3 + 6}

$ \implies \frac{y - 7}{- 1} = \frac{x + 6}{ 3} $

$ \implies 3y - 21 = - x - 6 $

Rearranging we get: x + 3y - 15 = 0

This is the required equation of the line.

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