That's not what I would get but I may be interpreting the question differently than you. How did you get 4?golb0016 said:4, is this correct?
The distance from a point to a line can be found using the formula d = |ax + by + c| / √(a^2 + b^2), where (x, y) is the given point and ax + by + c = 0 is the equation of the line.
To find the closest point on a line from a given point, first find the equation of the line. Then, using the formula (x1, y1) = (-ab(a^2 + b^2), -bc(a^2 + b^2)) and plugging in the values of a, b, and c from the line equation, you can find the coordinates of the closest point.
No, the distance from a point to a line is always a positive value. This is because the absolute value of the line equation is used in the formula to calculate the distance.
The slope of the line does not directly affect the distance from a point to the line. However, the distance will be greater if the line is steeper (has a larger slope) and smaller if the line is less steep (has a smaller slope).
Yes, it is possible for a point to be equidistant from two different lines. This happens when the two lines are parallel and the given point is located on the line that is equidistant from both lines.