Calculate 6

Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].

Correct answer:

d =  0.2

Step-by-step explanation:

Ax=0;Ay=2 Bx=9;By=5 Cx=1;Cy=1  l=(CxBx)2+(CyBy)2=(19)2+((1)5)2=10 S2=(CyBy) Ax+(CxBx) Ay+Cx ByBx Cy=((1)5) 0+(19) 2+1 59 (1)=2 d=S2/l=(2)/10=0.2



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
The line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Do you want to convert length units?
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: