Question

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

Answer 1

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

Answer 2

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.