1. write the equations of three lines whose graphs are parallel to one another. 2. write the equation of two lines whose graphs are perpendicular to one another. 3. what is the slope of a line that is parallel to the x-axis. 4. what is the slope of a line that is perpendicular to the x-axis. 5. what is the slope of a line that is parallel to the y-axis. 6. what is the slope of a line that is perpendicular to the y-axis

1) Parallel lines have same slope.

So here are the three equations:

a) y=3x+8

b) y=3x+7

c) y=3x+2

Perpendicular lines have slopes which are negative reciprocal to each other.

here are the equations:

a) y = 9x + 13

b) y = (-1/9) x + 32

3) A line parallel to the x-axis will have a slope undefined.

4) A line perpendicular to the x-axis will have a slope zero.

5) A line parallel to the y-axis will have a slope zero.

6) A line parallel to the y-axis will have a slope undefined.

Y = - 2x + 1

y = - 2x + 2

y = - 2x + 3

these are all parallel lines because they have the same slopes (-2) but different y intercepts.

y = 3x + 4

y = - 1/3x + 3

these are perpendicular lines because they have negative reciprocal slopes.

slope of a line parallel to the x axis : If it is parallel to the x axis, it is a horizontal line and has a slope of 0.

slope of a line perpendicular to the x axis : if it is perpendicular to the x axis, it is a vertical line with a slope that is undefined.

slope of line parallel to the y axis : vertical line, undefined slope

slope of a line perpendicular to the y axis : horizontal line, slope of 0