2. Graphs of Equations

Lines

Textbook Question
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = −1, passing through (−4, − 1/4)
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Textbook Question
Use the given conditions to write an equation for each line in point-slope form and general form. Passing through (5, −9) and perpendicular to the line whose equation is x + 7y - 12= 0
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Textbook Question
Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.
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Textbook Question
Exercises 143–145 will help you prepare for the material covered in the next section. Solve for y: 3x + 2y − 4 = 0.
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Textbook Question
In Exercises 73–76, find the slope of the line passing through each pair of points or state that the slope is undefined. Assume that all variables represent positive real numbers. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-a, 0) and (0, -b)
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Textbook Question
In Exercises 77-78, give the slope and y-intercept of each line whose equation is given. Assumethat B ≠ 0. Ax = By - C
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Textbook Question
In Exercises 81–82, graph each linear function. 6x-5f(x) - 20 = 0
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Textbook Question
If one point on a line is (2, −6) and the line's slope is -3/2, find the y-intercept.
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Textbook Question
Graph each equation in a rectangular coordinate system. f(x) = 1
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Textbook Question
In Exercises 59-66, a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. 4y+ 28 = 0
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Textbook Question
In Exercises 19–24, write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ passes through (−1, 5) and is perpendicular to the line whose equation is x = 6.
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Textbook Question
In Exercises 19–24, write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of ƒ passes through (−6, 4) and is perpendicular to the line that has an x intercept of 2 and a y-intercept of -4.
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Textbook Question
Exercises 143–145 will help you prepare for the material covered in the next section. Find the ordered pairs ( ______, 0) and (0, _______) satisfying 4x-3y-6=0.
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Textbook Question
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope = - 3/5, passing through (10, −4)
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Textbook Question
In Exercises 11–38, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−2, −4) and (1, −1)
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