Question

geometry
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id:
3.8e - parallel and perpendicular lines
write the slope - intercept form of the equation of the line described.

1. through: (1,3), parallel to ( y = 3x + 4 )
2. through: (-1,-4), parallel to ( y = 9x )

Explanation:

Step1: Find the slope

For a line parallel to \(y = mx + b\), the slope \(m\) is the same.

1. For the line parallel to \(y = 3x+4\), the slope \(m = 3\).
2. For the line parallel to \(y = 9x\), the slope \(m = 9\).

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

1. Given the point \((x_1,y_1)=(1,3)\) and \(m = 3\).

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1. Given the point \((x_1,y_1)=(-1,-4)\) and \(m = 9\).

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Answer:

1. \(y = 3x\)
2. \(y=9x + 5\)