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Andru [333]
3 years ago
11

Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)​

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

The equation of the line AB is  y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB :  m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{14 -6 }{10 - 2} = \frac{8}{8}  = 1

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as :    y - y0 = m (x-x0)

So,the equation of line AB is  y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is  y - x -4 = 0

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If |lm and m&lt;6 = 4x - 15 and m&lt;7 = x+30, then m&lt;6 =<br> 35<br> 45<br> 39<br> 15
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Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and ∠ 7 are alternate angles and are congruent, thus

4x - 15 = x + 30 ( subtract x from both sides )

3x - 15 = 30 ( add 15 to both sides )

3x = 45 ( divide both sides by 3 )

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Thus

∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°

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Step-by-step explanation:

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