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# Find a parametric equation of each of the following lines: a. 3x1 + 4x2 = 6 b. the line

**Chapter 1, Problem 6**

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**QUESTION:**

Find a parametric equation of each of the following lines:

a. \(3 x_{1}+4 x_{2}=6\)

b. the line with slope 1/3 that passes through \(A=(-1,2)\)

c. the line with slope 2/5 that passes through \(A=(3,1)\)

d. the line through \(A=(-2,1)\) parallel to \(\mathbf{x}=(1,4)+t(3,5)\)

e. the line through \(A=(-2,1)\) perpendicular to \(\mathbf{x}=(1,4)+t(3,5)\)

f. the line through \(A=(1,2,1)\) and \(B=(2,1,0)\)

g. the line through \(A=(1,-2,1)\) and \(B=(2,1,-1)\)

h. the line through \((1,1,0,-1)\) parallel to \(\mathbf{x}=(2+t, 1-2 t, 3 t, 4-t)\)

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### Questions & Answers

(2 Reviews)

**QUESTION:**

Find a parametric equation of each of the following lines:

a. \(3 x_{1}+4 x_{2}=6\)

b. the line with slope 1/3 that passes through \(A=(-1,2)\)

c. the line with slope 2/5 that passes through \(A=(3,1)\)

d. the line through \(A=(-2,1)\) parallel to \(\mathbf{x}=(1,4)+t(3,5)\)

e. the line through \(A=(-2,1)\) perpendicular to \(\mathbf{x}=(1,4)+t(3,5)\)

f. the line through \(A=(1,2,1)\) and \(B=(2,1,0)\)

g. the line through \(A=(1,-2,1)\) and \(B=(2,1,-1)\)

h. the line through \((1,1,0,-1)\) parallel to \(\mathbf{x}=(2+t, 1-2 t, 3 t, 4-t)\)

**ANSWER:**

Step 1 of 9

Parametric equations have the form,

\(x=x_{0}+t v\)

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### Review this written solution for 963693) viewed: 440 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 1.1 - Problem 6

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### Review this written solution for 963693) viewed: 440 isbn: 9781429215213 | Linear Algebra: A Geometric Approach - 2 Edition - Chapter 1.1 - Problem 6

Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.

No thanks, I don't want to help other students