Chapter 3: Q1P (page 112)

In Problems 1 to 5, all lines are in the $(x, y)$ plane.
Write the equation of the straight line through $(2, - 3)$ with slope $3 / 4$ , in the parametric form $r = r_{0} + A t$ .

Short Answer

Expert verified

The parametric equation of the line is $(2, - 3) + (4, 3) t$ .

Step by step solution

Concept of the straight line in slope form.

Write the expression of the straight line in slope form.

$\frac{y - y_{o}}{x - x_{o}} = m . . . . . . (1)$

Here, is the slope and and are the coordinates.

Find the equation of the Straight line

The given point is $(2, - 3)$ and the slope of line is $\frac{3}{4}$ .

Substitute -3 for $y_{o}, 2$ for $x_{o}$ and $\frac{3}{4}$ for $m$ in equation (1).

$\frac{y - (- 3)}{x - (2)} = \frac{3}{4} \frac{y + 3}{3} = \frac{x - 2}{4}$

Thus, from the obtained equation, $a = 4$ and $b = 3$ in parametric form.

Substitute the value in parametric form

The parametric form is, $x = 2 + 4 t$ .

And, $y = - 3 + 3 t$ .

Thus, the parametric equation can be written as follows:

$r = (2, - 3) + (4, 3) t$

Therefore, the parametric equation of the line is $(2, - 3) + (4, 3) t$ .

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In Problems 1 to 5, all lines are in the $(x, y)$ plane.
Write the equation of the straight line through $(2, - 3)$ with slope $3 / 4$ , in the parametric form $r = r_{0} + A t$ .

Short Answer

Step by step solution

Concept of the straight line in slope form.

Find the equation of the Straight line

Substitute the value in parametric form

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In Problems 1 to 5, all lines are in the (x,y) plane.Write the equation of the straight line through(2,-3) with slope 3/4, in the parametric formr=r0+At.

Short Answer

Step by step solution

Concept of the straight line in slope form.

Find the equation of the Straight line

Substitute the value in parametric form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fields in Physics

Space Physics

Medical Physics

Astrophysics

Magnetism

Work Energy and Power

Study anywhere. Anytime. Across all devices.

In Problems 1 to 5, all lines are in the $(x, y)$ plane.
Write the equation of the straight line through $(2, - 3)$ with slope $3 / 4$ , in the parametric form $r = r_{0} + A t$ .