Download - Section 2.2 Lines. OBJECTIVE 1 Find the slope of the line containing the points (–1, 4) and (2, –3)
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Section 2.2
Lines
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OBJECTIVE 1
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Find the slope of the line containing the points (–1, 4) and (2, –3).
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Adjust the selections for Xmin, Xmax, Ymin, and Ymax by setting the ratio of x to y at 3:2.
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These figures also illustrate that the closer the line is to the vertical position, the greater the magnitude of the slope.
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OBJECTIVE 2
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Draw a graph of the line that contains the point (1, 4) and has a slope of:
1 3a (b)
2 5
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OBJECTIVE 3
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Graph the equation x = – 2
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OBJECTIVE 4
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Find the equation of a line with slope – 3 and containing the point (– 1, 4).
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Find an equation of the horizontal line containing the point (– 4, – 1).
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OBJECTIVE 5
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Find an equation of the line L containing the points (–1, 4) and (3, –1). Graph the line L.
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OBJECTIVE 6
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OBJECTIVE 7
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Find the slope m and y-intercept b of the equation 3x – 2y = 6. Graph the equation.
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OBJECTIVE 8
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Graph the linear equation 3x + 2y = 6 by finding its intercepts.
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OBJECTIVE 9
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1 2: 3 5 2 : 6 10 1L x y L x y
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Find an equation for the line that contains the point (4, – 1) and is parallel to the line – 3x + 5y = 1. By hand, graph the two lines.
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OBJECTIVE 10
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Find the slope of a line perpendicular to a line with slope . 3
4
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Find an equation of the line that contains the point (– 4, 6) and is perpendicular to the line 2x – y = 4. Graph the two lines.