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Monica [59]
3 years ago
5

Write the equation in point slope form for the line that contains the points (-2,-3), (4,3)

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

Answer:

y + 3 = 1 ⋅ (x + 2).

Step-by-step explanation:

Find the equation using point-slope formula.

Slope-intercept form:

y = x − 1

Point-slope form:

y + 3 = 1 ⋅ (x + 2)

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Find the distance between the two points in simplest radical form.<br> (7,2) and (-1, -3)
Paul [167]

Answer:

The answer is

<h2>\sqrt{89}  \:  \:  \:  \: units \\</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x_1 - x_2})^{2} +  ({y_1 - y_2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,2) and (-1, -3)

The distance between them is

d =  \sqrt{( {7 + 1})^{2}  +  ({2 + 3})^{2} }  \\  =  \sqrt{ {8}^{2}  +  {5}^{2} }  \\  =  \sqrt{64 + 25}  \\  =  \sqrt{89}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{89}  \:  \:  \:  \: units \\

Hope this helps you

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