can u write a sketch lines with slopes 2/3 and -3/2 are perpendicular

Here is the sketch showing two perpendicular lines, one with a slope of \( \frac{2}{3} \) and the other with a slope of \( -\frac{3}{2} \), intersecting at a right angle.

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Here are five related questions to explore:
1. How do you find the equation of a line with a given slope passing through a point?
2. Can you find the intersection point of two lines algebraically?
3. What is the geometric significance of parallel lines and their slopes?
4. How can we calculate the distance between two points on these lines?
5. How do you determine the angle between two intersecting lines?

**Tip:** When two lines are perpendicular, their slopes are negative reciprocals of each other.

Explore how two lines with slopes 2/3 and -3/2 are perpendicular. Learn about the key concepts of slopes and perpendicularity in coordinate geometry. This problem is ideal for students in Grades 8-10, covering the formula for slopes and the perpendicular lines theorem.

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