A line passes through (3, 7) and (6, 9). Which equation best represents the line?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

The equation of the st line is 2x -3y+15 = 0

Step-by-step explanation:

Given, two points are (3,7) and (6,9)

To find the equation of the line passing through these points

Formula

The equation of a line passing through (x1,y1) and (x2,y2) is

$\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}$

Hence,

The equation of the line passing through (3,7) and (6,9) is

$\frac{y-7}{x-3} = \frac{9-7}{6-3}$

or, $\frac{y-7}{x-3} = \frac{2}{3}$

or, 3(y-7) = 2(x-3) [ by cross multiplication we get]

or, 2x - 6 = 3y - 21

or, 2x -3y+15 = 0

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While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller

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Answer:

Using the transitive property of geometry, we proved that △PQR is an equilateral triangle.

Step-by-step explanation:

The diagram of the given scenario is in the attachment.

Here, PQ is the radius of circle Q

Also, PQ is the radius of circle P

Hence, circle-P and circle-Q have same radii.

Now, PQ=RQ as both are radii of circle Q

And PQ=PR, as both are radii of circle P

Hence as per transitive property, which states that, if any two angles, lines, or shapes are congruent to a third angle, line, or shape respectively, then the first two angles, lines, or shapes are also congruent to the third angle, line, or shape

PR=QR

Now, PQ = QR = PR

Hence, ∆PQR is equilateral.

For more explanation, refer the following link:

brainly.com/question/27884420

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