Intersection 19343

What is the sum of all coordinates of points at the intersection of the line p: x = -1-2t, y = 5-4t, z = -3 + 6t, where t is a real number, with the coordinate planes xy and yz?

Correct answer:

s =  2

Step-by-step explanation:

p: x = 12t, y = 54t, z = 3+6t  z=0 t1=(0+3)/6=21=0.5  x=0 t2=1/(2)=21=0.5  s1=(12 t1)+(54 t1)+0=(12 0.5)+(54 0.5)+0=1 s2=0+(54 t2)+(3+6 t2)=0+(54 (0.5))+(3+6 (0.5))=1  s=s1+s2=1+1=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.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

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

Related math problems and questions: