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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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