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1.3.1: Determining the Equation of a Line (Exercises)

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    SECTION 1.3 PROBLEM SET: DETERMINING THE EQUATION OF A LINE

    Write an equation of the line satisfying the following conditions.
    Write the equation in the form y = mx + b.

    1) It passes through the point (3, 10) and has
    slope = 2.

    		 2) It passes through point (4,5) and has m = 0.
    3) It passes through (3, 5) and (2, - 1). 4) It has slope 3, and its y-intercept equals 2.
    5) It passes through (5, - 2) and m = 2/5. 6) It passes through (- 5, - 3) and (10, 0).
    7) It passes through (4, - 4) and (5, 3). 8) It passes through (7, - 2) ; its y-intercept is 5.

    9) It passes through (2, - 5) and its x-intercept
    is 4.

    		 10) Its a horizontal line through the point (2, - 1).

    SECTION 1.3 PROBLEM SET: DETERMINING THE EQUATION OF A LINE

    Write an equation of the line satisfying the following conditions.
    Write the equation in the form y = mx + b.

    11) It passes through (5, - 4) and (1, - 4). 12) It is a vertical line through the point (3, - 2).
    13) It passes through (3, - 4) and (3, 4). 14) It has x-intercept = 3 and y-intercept = 4.

    Write an equation of the line satisfying the following conditions.
    Write the equation in the form Ax + By = C.

    15) It passes through (3, - 1) and m = 2. 16) It passes through (- 2, 1) and m = - 3/2.
    17) It passes through (- 4, - 2) and m = 3/4. 18) Its x-intercept equals 3, and m = - 5/3.

    SECTION 1.3 PROBLEM SET: DETERMINING THE EQUATION OF A LINE

    Write an equation of the line satisfying the following conditions.
    Write the equation in the form Ax + By = C.

    19) It passes through (2, - 3) and (5, 1). 20) It passes through (1, - 3) and (- 5, 5).

    Write an equation of the line satisfying the following conditions.
    Write the equation in point slope form y-y1 = m (x-x1)

    21) It passes through (2, - 3) and (5, 1). 22) It passes through (1, - 3) and (- 5, 2).
    23) It passes through (6, -2) and (0, 2). 24) It passes through (8, 2) and (-7, -4).
    25) It passes through (-12, 7) and has slope = -1/3. 26) It passes through (8, - 7) and has slope 3/4.

    This page titled 1.3.1: Determining the Equation 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.