Question

Построить прямую перпендикулярную данной прямой

Answer 1

Это же очень легко, просто проведи прямую, чтобы она прямой уголок (90°) образовала
вот , для примера 

Answer 2

Building a Line Perpendicular to a Given Line

To construct a line perpendicular to a given line, you can follow these steps:

1. Identify the Given Line: First, identify the equation or the characteristics of the given line.

2. Find the Slope of the Given Line: If the given line is represented by the equation \(y = mx + c\), where \(m\) is the slope, then the slope of the perpendicular line will be the negative reciprocal of \(m\).

3. Use the Slope-Intercept Form: The equation of the perpendicular line can be written in the form \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept.

4. Determine the Y-Intercept: If the y-intercept is not given, you can choose a point through which the line should pass and solve for the y-intercept.

5. Construct the Perpendicular Line: Use the slope and the y-intercept to plot the perpendicular line on the coordinate plane.

Example

Let's say the given line has the equation \(y = 2x + 3\). To find a line perpendicular to this, we need to follow these steps:

1. Find the Slope of the Given Line: The slope of the given line is \(2\). The slope of the perpendicular line will be the negative reciprocal of \(2\), which is \(-\frac{1}{2}\).

2. Use the Slope-Intercept Form: The equation of the perpendicular line will be \(y = -\frac{1}{2}x + c\), where \(c\) is the y-intercept.

3. Determine the Y-Intercept: If a point through which the line should pass is given, you can use it to solve for the y-intercept \(c\).

4. Construct the Perpendicular Line: Plot the perpendicular line using the slope and the y-intercept.

This process will result in a line that is perpendicular to the given line.

I hope this helps! If you have further questions or need more assistance, feel free to ask.