### Home > GB8I > Chapter 9 Unit 10 > Lesson INT1: 9.2.2 > Problem9-64

9-64.

Line $L$ is perpendicular to the line $6x – y = 7$ and passes through the point $(0, 6)$. Line $M$ is parallel to the line $y=\frac{2}{3}x-4$ and passes through the point $(–3, –1)$. Where do lines $L$ and $M$ intersect? Explain how you found your solution.

Find the equation of Line $L$ and $M$ in slope intercept form
($y = mx + b$) and identify the slope of each.

Remember that the slope of perpendicular lines are opposite reciprocals. The slope of parallel lines are equal.

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