math

posted by .

find the parametric equations of the line that passes through the point p(2,3,4)& parallel to the xz-plane

• math -

To be parallel to the xz plane, y must be constant. In this case, the constant is y = 3.

There is more than one line parallel to the xz plane that passes through that point. If the z vs x slopes of the various possible slopes in the y=3 plane are denoted by m,

z - 4 = m (x - 2)

Similar Questions

1. Discrete Math: Equations of a Line

Find parametric equations for the line that passes through the point (0, -1, 1) and the midpoint of the line segment from (2, 3, -2) to (4, -1, 5). I don't know how to solve this problem.
2. Math

For each of the following, find the parametric equations of the line that passes through the point P with direction vector d. In each case, find two points on the line different from P. a) P(1,1) d=(4,-4) b) P(5,0) d=(1,3) answer at …

Write a vector equation of the line that passes through point P and is parallel to a. Then write parametric equations of the line. P(-1, 3); a=(-6, -1) MY ANSWER: (x+1, y-3) = t(-6, -1); x= -1-6t, y=3-t P(0, 5); a=(2, -9) MY ANSWER: …
4. maths - geometry

In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections?
5. calculus

Find parametric equations for the line through the point P(2, 9, 4) that is parallel to the plane x + y + z = 6 and perpendicular to the line x = 5 + t , y = 5 − t , z = 5t . Answer Choices: 1. x = 2 + 6t, y = 9 + 4t, z = 4 + …
6. Calculus

Find parametric equations for the line through the point (0,2,2)that is parallel to the plane x+y+z = 2 and perpendicular to the line x=1+t, y=2−t, z=2t. (Use the parameter t.) (x(t), y(t), z(t)) =
7. mathematics

If the line l has parametric equations x=5-3t, y=-2+t, z=1+9t, find the parametric equations for the line through p(5,4,-3) that is parallel to l.
8. MAT221

consider the line 8x-5y=-4 find the equation of the line that is perpendicular to this line and passes through the point (-4,-4) find the equation of the line that is parallel to this line and passes through the point (-4, -4) i keep …
9. math help

find a set of parametric equations for the line through the point and parallel to the specified vector. (1, -8, -3), parallel to (-1, 6, -6) find symmetric equations for the line through the point and parallel to the specified vector. …
10. Calculus

a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes?

More Similar Questions