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skelet666 [1.2K]
3 years ago
15

What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

Answer:

<em>Given </em><em>points </em><em>(</em><em> </em><em>-</em><em>1</em><em> </em><em>,</em><em> </em><em>4</em><em>.</em><em>5</em><em> </em><em>)</em><em> </em><em>and </em><em>(</em><em> </em><em>6</em><em> </em><em>,</em><em> </em><em>8</em><em> </em><em>)</em>

Step-by-step explanation:

<em>first </em><em>we </em><em>should </em><em>calculate </em><em>slope </em>

<em>Slope </em><em>(</em><em> </em><em>m</em><em>) </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> </em><em>x1</em><em>) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>8</em><em> </em><em>-</em><em> </em><em>4</em><em>.</em><em>5</em><em> </em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>6</em><em> </em><em> </em><em>+</em><em> </em><em>1</em><em> </em><em>)</em>

<em>=</em><em> </em><em>3</em><em>.</em><em>5</em><em>/</em><em>7</em>

<em>=</em><em> </em><em>0</em><em>.</em><em>5</em>

<em>Now </em><em>the </em><em>equation </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </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>x</em><em>1</em><em> </em><em>)</em>

<em>y </em><em>-</em><em> </em><em>4</em><em>.</em><em>5</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em> </em><em>1</em><em> </em><em>)</em>

<em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>4</em><em>.</em><em>5</em><em> </em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em> </em><em>1</em><em>)</em>

<em>y </em><em>-</em><em> </em><em>4</em><em>.</em><em>5</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>0</em><em>.</em><em>5</em>

<em>y </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>0</em><em>.</em><em>5</em><em> </em><em>+</em><em> </em><em>4</em><em>.</em><em>5</em>

<em>y </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em>

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