Plot the line that is perpendicular to the equation 4y - 2x = 12 and passes through the coordinates of (4, -8).

Here is the graph showing the perpendicular line \( y = -2x \) in blue and the original line \( y = \frac{1}{2}x + 3 \) in green. The red point represents the coordinates \((4, -8)\), through which the perpendicular line passes.

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Here are 5 related questions for further practice:
1. How do you find the slope of a line given two points?
2. What is the slope of a line parallel to \( y = 3x + 7 \)?
3. How would the equation change if the line passed through \((0, 0)\)?
4. What is the general formula for finding perpendicular lines in 3D space?
5. How can you determine if two lines are parallel without graphing?

**Tip:** When solving for perpendicular slopes, remember that the product of the slopes of two perpendicular lines always equals \(-1\).

Learn how to plot the line that is perpendicular to the equation 4y - 2x = 12 and passes through (4, -8). This problem covers key algebraic concepts, including perpendicular slopes, slope-intercept form, and the equation of a line. Suitable for students in Grades 8-10.

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