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ser-zykov [4K]
3 years ago
14

Which equation in point-slope form describes the line through points (4, –4) and (1, 2)?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Step-by-step explanation:

<em>Given </em><em>points </em><em>(</em><em>4</em><em> </em><em>,</em><em> </em><em>-</em><em>4</em><em>)</em><em> </em><em> </em><em>and </em><em>(</em><em> </em><em>1</em><em>,</em><em> </em><em>2</em><em>)</em>

<em>First </em><em>calculating </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> </em><em>y1) </em><em>/</em><em>(</em><em> </em><em>x2 </em><em>-</em><em>x1) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>+</em><em> </em><em>4</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em>1</em><em>-</em><em>4</em><em>)</em>

<em>=</em><em> </em><em>6</em><em>/</em><em> </em><em>-</em><em>3</em>

<em>=</em><em> </em><em>-</em><em>2</em>

<em>Now</em>

<em>The </em><em>equation </em><em>in </em><em>point </em><em>slope </em><em>form</em>

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

<em>y </em><em>+</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>4</em><em>)</em>

<em>y </em><em>+</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>8</em>

<em>2x </em><em>+</em><em> </em><em>y </em><em>-</em><em> </em><em>8</em><em> </em><em>+</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>0</em>

<em>2x </em><em>+</em><em> </em><em>y </em><em>-</em><em>4</em><em> </em><em>=</em><em> </em><em>0</em><em> </em><em>which </em><em>is </em><em>the </em><em>required </em><em>equation </em>

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