3.2.H: Homework

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    From LibreTexts, under CC BY 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    Practice Makes Perfect

    Plot Points in a Rectangular Coordinate System

    In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

    Exercise 1

    a. (−4,2)

    b. (−1,−2)

    c. (3,−5)

    d. (−3,5)

    e. \((\frac{5}{3},2)\)

    Answer

    The graph shows the x y-coordinate plane with points a - e plotted.

    a. QII, quadrant 2

    b. QIII, quadrant 3

    c. QIV, quadrant 4

    d. QII, quadrant 2

    e. QI, quadrant 1

    In the following exercises, plot each point in a rectangular coordinate system.

    Exercise 2

    a. (−2,0)

    b. (−3,0)

    c. (0,0)

    d. (0,4)

    e. (0,2)

    Answer

    The graph shows the x y-coordinate plane with pints a - e plotted.

    Solve

    Exercise 3

    If A(3,7), B(10,7), and C(3,−2) are three vertices of a rectangle, what are the coordinates of the fourth vertex?

    Answer

    (10,-2)

    Exercise 4

    Where are all the points whose y-coordinates are -4?

    Answer

    On the horizontal line through \(y=-4\)

    Exercise 5

    Where are all the points whose x-coordinates are 8?

    Answer

    On the vertical line through \(x=8\)

    Exercise 6

    Where are all the points \((x,y)\) for which \(x>10\)?

    Answer

    To the right of the vertical line through \(x=10\)

    Exercise 7

    Where are all the points \((x,y)\) for which \(x>2\) and \(y<-6\)?

    Answer

    To the right of the vertical line through \(x=2\) and below the horizontal line through \(y=-6\).

    In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system.

    Exercise 8

    The graph shows the x y-coordinate plane with points A - D plotted.

    Answer

    \(A :(-4,1) \quad B :(-3,-4) \quad C :(1,-3) \quad D :(4,3)\)

    This page titled 3.2.H: Homework was last modified on Mon, 06 Jul 2026 03:20:50 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Kiersten Purves.