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Zarrin [17]
3 years ago
7

Determine the equation of the line that passes through the points (-3. -7) and (5, 2)

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Step-by-step explanation:

Given points

<em>(</em><em> </em><em>-</em><em>3</em><em> </em><em>,</em><em> </em><em>-</em><em>7</em><em>)</em><em> </em><em>and </em><em>(</em><em> </em><em>5</em><em>,</em><em> </em><em>2</em><em>)</em>

<em>Now </em><em>slope </em><em>(</em><em>m) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>y2 </em><em>-</em><em> </em><em>y1</em><em>) </em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2 </em><em>-</em><em> </em><em>x1</em><em>) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>+</em><em> </em><em>7</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>5</em><em>+</em><em> </em><em>3</em><em>)</em>

<em>=</em><em> </em><em>9</em><em> </em><em>/</em><em> </em><em>8</em>

<em>Now </em><em>the </em><em>equation </em><em>of </em><em>line </em><em>is </em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1</em><em>) </em>

<em>y </em><em>+</em><em> </em><em>7</em><em> </em><em>=</em><em> </em><em>9</em><em>/</em><em>8</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em> </em><em>3</em><em>)</em>

<em>8</em><em> </em><em>(</em><em> </em><em>y </em><em>+</em><em> </em><em>7</em><em>)</em><em> </em><em>=</em><em> </em><em>9</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em> </em><em>3</em><em>)</em>

<em>8y </em><em>+</em><em> </em><em>5</em><em>6</em><em> </em><em>=</em><em> </em><em>9x </em><em>+</em><em> </em><em>2</em><em>7</em>

<em>9x </em><em>-</em><em> </em><em>8y </em><em>+</em><em>2</em><em>7</em><em> </em><em>-</em><em> </em><em>5</em><em>6</em><em>=</em><em> </em><em>0</em>

<em>9x </em><em>-</em><em> </em><em>8y </em><em>-</em><em>2</em><em>9</em><em> </em><em>=</em><em> </em><em>0</em>

<em>Which </em><em>is </em><em>the </em><em>required </em><em>equation </em>

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So, lets just go over this step by step and make sense of it.

20 clearly must be what we start with, and as you see in your answers, all of them have that as the number you multiply the parethese by.

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It for sure cannot be a or d because a would mean that it would only rebound 20% of its height, and d would mean that it rebound 180% of its height.

Its now between b and c.

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Pull out your calculator or pull it up on your electronic. Multiply 10 by 0.9. This will get you 9. Multiply 9 again by 0.9, and youll get 8.1.

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