Sign In
The shortest distance between a point and a line is the length of the line segment that is perpendicular to the given line.
About 94.9 feet
The shortest distance between a point and a line is the length of the line segment that is perpendicular to the given line. We will need to find the perpendicular line and then we can find the intersection point. Finally, we can calculate the distance from the given point to the point of intersection.
m_1= 1/3
1/b* a = a/b
LHS * 3=RHS* 3
(I): x= - 3
(I): - a(- b)=a* b
(I): Subtract term
Substitute ( - 3,- 5) & ( - 6,4)
a-(- b)=a+b
Add and subtract terms
Calculate power
Add terms
Since each unit in the coordinate plane represents 10 feet, we find the total distance by multiplying the unit distance by the distance between the points. 10* sqrt(90)≈ 94.9 feet