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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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The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

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<h3>What is an array (area) multiplication model?</h3>

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