Section 1.4
Lines
OBJECTIVE 1
Find the slope of the line containing the points (–1, 4) and (2, –3).
Adjust the selections for Xmin, Xmax, Ymin, and Ymax by setting the ratio of x to y at 3:2.
These figures also illustrate that the closer the line is to the vertical position, the greater the magnitude of the slope.
OBJECTIVE 2
Draw a graph of the line that contains the point (1, 4) and has a slope of:
1 3a (b)
2 5
OBJECTIVE 3
Graph the equation x = – 2
OBJECTIVE 4
Find the equation of a line with slope – 3 and containing the point (– 1, 4).
Find an equation of the horizontal line containing the point (– 4, – 1).
OBJECTIVE 5
Find an equation of the line L containing the points (–1, 4) and (3, –1). Graph the line L.
OBJECTIVE 6
OBJECTIVE 7
Find the slope m and y-intercept b of the equation 3x – 2y = 6. Graph the equation.
OBJECTIVE 8
Graph the linear equation 3x + 2y = 6 by finding its intercepts.
OBJECTIVE 9
1 2: 3 5 2 : 6 10 1L x y L x y
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.
OBJECTIVE 10
Find the slope of a line perpendicular to a line with slope . 3
4
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.