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Rina8888 [55]
2 years ago
7

Find the slope of the line through each pair of points.

Mathematics
1 answer:
Fudgin [204]2 years ago
7 0
<h2>Answer:    slope = ¹¹/₁₃ </h2><h3>Step-by-step explanation:    </h3>

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

<em></em>

<em></em>

<em>Checking my answer:</em>

<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>

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