Match each equation with its form.(a) (i) vertical line

Chapter 1, Problem 1.1

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QUESTION:

Match each equation with its form.

(a) \(A x+B y+C=0\)

(b) x = a

(c) y = b

(d) y = mx + b

(e) \(y-y_{1}=m\left(x-x_{1}\right)\)

(i) vertical line

(ii) slope-intercept form

(iii) general form

(iv) point-slope form

(v) horizontal line

Questions & Answers

QUESTION:

Match each equation with its form.

(a) \(A x+B y+C=0\)

(b) x = a

(c) y = b

(d) y = mx + b

(e) \(y-y_{1}=m\left(x-x_{1}\right)\)

(i) vertical line

(ii) slope-intercept form

(iii) general form

(iv) point-slope form

(v) horizontal line

ANSWER:

Step 1 of 2

The general form of the equation of a line is Ax + By + C = 0. Thus (a) match with option (iii).

The equation of  a vertical line is x=a, thus (b) matches with option (i).

The equation for a horizontal line is y=a. Thus (c) matches with option (v).

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