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Gnesinka [82]
3 years ago
10

Write an equation of the line that passes through (0, −2) and (4, 10).

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Step-by-step explanation:

<em><u>Given points </u></em>

<em>(</em><em> </em><em>0</em><em> </em><em>,</em><em> </em><em>-</em><em>2</em><em>)</em><em> </em><em>and </em><em>(</em><em> </em><em>4</em><em> </em><em>,</em><em>1</em><em>0</em><em>)</em>

<em>Slope(</em><em>m</em><em>)</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> </em><em>(</em><em>x2 </em><em>-</em><em> </em><em>x1) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>1</em><em>0</em><em> </em><em>+</em><em> </em><em>2</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>4</em><em>-</em><em>0</em><em>)</em>

<em>=</em><em> </em><em>1</em><em>2</em><em> </em><em>/</em><em> </em><em>4</em>

<em>=</em><em> </em><em>3</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>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>3</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>0</em><em>)</em>

<em>y </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>3x </em>

<em>3x </em><em>-</em><em> </em><em>y </em><em>=</em><em> </em><em>2</em>

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