The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the line parallel to L₁ and passing through the point (-3, 4, 2). Find the point P on L2 whose x-coordinate is -7. P= (-7, 0, 0)

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

A:

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: Which of the following is the Cartesian equation of the line passing through C(2,-1) and parallel to…

A: We can find the equation of line as below

Q: Find an equation for the plane through the points (5, −5, −7) and (14, −5, −9) and perpendicular to…

A: The given problem is to find the equation of plane that passes through the given points and…

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

A:

Q: Points A(p, 6), B(-3, q), and C(r, 8) are on a line whose equation is y = -2x + 3. Find the unknown…

A:

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: 24. Write parametric equations for the line passing through the point at (-2, 5) and parallel to the…

A: The given equation is  3x - 6y =-8 which can be written as        6y = 3x +8 or, y = 12x + 43 The…