- #1
ttpp1124
- 110
- 4
- Homework Statement
- Determine the distance between the following points and lines
I tried it; can someone confirm?
- Relevant Equations
- n/a
Last edited:
Ugh, a sign mistake.LCKurtz said:Your graph is incorrect. The y intercept should be positive and the x intercept negative. And my answer (posting when tired) in post #1 (and yours) is incorrect . The correct answer should be ##\frac {21}{\sqrt{29}}##.
The formula for determining the distance between a point and a line is the perpendicular distance formula, which is given by d = |ax + by + c| / √(a^2 + b^2), where a, b, and c are the coefficients of the line's equation and x and y are the coordinates of the point.
No, the distance between a point and a line cannot be negative. The distance is always measured as a positive value.
The shortest distance between a point and a line is found by drawing a perpendicular line from the point to the line. The length of this perpendicular line is the shortest distance between the point and the line.
Determining the distance between a point and a line is important in various fields of science, such as physics and engineering. It helps in calculating the shortest distance between an object and a line, which is useful in designing structures and predicting the motion of objects.
Yes, the distance between a point and a line can be greater than the length of the line. This can occur when the point is not between the endpoints of the line and the perpendicular line drawn from the point intersects the line outside of the line segment.