Carol H. answered • 10/26/17

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Masters' Degree in Mathematics with 35 years of Teaching Experience

**-6x + 3y = 9**

**3y = 6x + 9**

**y = 2x + 3 The slope of this line is 2. Since parallel lines have the same slope, the new line will also have a slope of 2. You now have a point (5,5) and a slope; so, use the Point-Slope form for the equation of a line.**

**y - y**

_{1}= m(x - x_{1})**y - 5 = 2(x - 5)**

**y - 5 = 2x - 10**

**y = 2x - 5**