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Gnoma [55]
3 years ago
9

5. Write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6,

3)
Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

y = -5x - 27

Step-by-step explanation:

First and foremost, parallel lines have SIMILAR <em>RATE</em><em> </em>OF <em>CHANGES</em> [<em>SLOPES</em>],<em> </em>so we keep the -5. Moving forward, we simply plug the coordinate into the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em> </em><em>-</em><em>-</em><em>></em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>-</em><em>5</em><em>[</em><em>-</em><em>6</em><em>]</em><em> </em><em>+</em><em> </em><em>b</em><em>.</em><em> </em>Our y-intercept is [0, -27], therefore our parallel equation is <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em>5x</em><em> </em><em>-</em><em> </em><em>27</em><em>.</em>

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