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Eva8 [605]
4 years ago
11

G.1.- Una Recta contiene los puntos (-3,7)

Mathematics
1 answer:
mestny [16]4 years ago
8 0

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of y=mx+b.

Solution:

If a line passes through two points, then the equation of the line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))

y-7=\dfrac{-5-7}{9+3}(x+3)

y-7=\dfrac{-12}{12}(x+3)

y-7=-1(x+3)

On further simplification, we get

y-7=-x-3

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

y=-x+4

Therefore, the equation of the required line is y=-x+4.

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