swag312 said:Hey, not sure how to translate this from my native language, I hope you understand what I mean.
Write down for the line
y = 2x + 3 perpendicular and parallel lines passing through the point
(1; 1) equations.
The concept involves finding a line that intersects with the given point at a 90 degree angle (perpendicular) to the given line. This can be done by finding the slope of the given line and then using the negative reciprocal of that slope to find the slope of the perpendicular line.
To find the equation of a line that is parallel to a given line, we need to use the same slope as the given line. Then, we can use the given point to find the y-intercept of the parallel line. The equation will be in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Yes, there can be an infinite number of lines that are perpendicular to a given line and pass through a given point. This is because the perpendicular line can have any slope as long as it is the negative reciprocal of the given line's slope.
No, it is not possible for a line to be both perpendicular and parallel to a given line at the same time. This is because perpendicular lines have slopes that are negative reciprocals of each other, while parallel lines have the same slope.
This concept can be applied in real life situations such as construction, where perpendicular and parallel lines are used to create strong and stable structures. It can also be used in navigation, where perpendicular and parallel lines are used to determine direction and distance. Additionally, this concept is used in various fields of engineering and physics to solve problems involving angles and slopes.