Question

In two or more complete sentences, describe how to graph each of the following equations. In your description, include the slopes and both the X- and y-intercept for each line.

1) y = 2
2) y = -1/2 x
3) x - y = 4
4) x = -1

Answer 1

1) It is a horizontal line through (0, 2) with no x-intercept. The slope is zero.

2) It is a decreasing line that only goes through the origin on the axis. The slope is -1/2.

3) It is an increasing line that crosses the y-axis at 4 and the x-axis at 4. The slops is 1.

4) is is a vertical line going through (-1, 0). The slope is undefined.