What is the equation of a line parallel to y = 7x + 2 and passing through the point (5, 10)?

Explanation

To be parallel, the slopes of the two lines need to be equal, so the new line is y = 7x + b. Since all points on a line satisfy the equation, we can substitute 5 for x and 10 for y to get 10 = 7(5) + b and solve to find b: 10 = 35 + b→ 10 – 35 = b → –25 = b. With b = –25, the equation becomes y = 7x –25.

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