Skip to main content
Statistics LibreTexts

1.2.1: Slope of a Line (Exercises)

  • Page ID
    35195
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

    ( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\id}{\mathrm{id}}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\kernel}{\mathrm{null}\,}\)

    \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\)

    \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\)

    \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    \( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

    \( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

    \( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vectorC}[1]{\textbf{#1}} \)

    \( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

    \( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

    \( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    SECTION 1.2 PROBLEM SET: SLOPE OF A LINE

    Find the slope of the line passing through the following pair of points.

    1) (2, 3) and (5, 9) 2) (4, 1) and (2, 5)
    3) (- 1, 1) and (1, 3) 4) (4, 3) and (- 1, 3)
    5) (6, - 5) and (4, - 1) 6) (5, 3) and (- 1, - 4)
    7) (3, 4) and (3, 7) 8) (- 2, 4) and (- 3, - 2)
    9) (- 3, - 5) and (- 1, - 7) 10) (0, 4) and (3, 0)

    SECTION 1.2 PROBLEM SET: SLOPE OF A LINE

    Determine the slope of the line from the given equation of the line.

    11) y = - 2x + 1 12) y = 3x - 2
    13) 2x - y = 6 14) x + 3y = 6
    15) 3x - 4y = 12

    16) What is the slope of the x-axis?
    What is the slope of the y-axis?

    Graph the line that passes through the given point and has the given slope.

    17) (1, 2) and m = - 3/4 18) (2, ­- 1) and m = 2/3
    19) (0, 2) and m = - 2 20) (2, 3) and m = 0

    This page titled 1.2.1: Slope of a Line (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Rupinder Sekhon and Roberta Bloom via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.