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.