How do I get started to answer this question.

Question

Describe the following graphs, their slope, their intercepts, their graph: y = 200; x = 200; y = -100; and x = -150.

Are any of these parallel? Why?
Are any of these perpendicular? Why?

Answer 1

Let's take the line x=3 as an example.  In order to graph it, I move to the right three spaces from the origin. The line x=3 tells us that no matter what the y value is, the x value will always be 3. So, points on this line are (3, 3) (3,2) (3,1) (3,0) (3,-1) (3,-2) (3,-3) and so on.  By plotting these points you will discover if the line is vertical or horizontal.  (Remember, you must draw arrows on both ends to show that the line goes on in either direction.)  

 

The above example will help you graph the lines x=200 & x=-150.  

 

Let's now take the line y=3 as an example.  In order to graph it, move up three spaces from the origin.  The line y=3 tells us that no matter what the x value is, the y value will always be 3.  So, points on this line are (3,3) (2,3) (1,3) (0,3) (-1,3) (-2,3) (-3,3) and so on.  By plotting these points you will discover if the line is vertical or horizontal.  (Remember, you must draw arrows on both ends to show that the line goes on in either direction.)

 

The above example will help you plot the lines y=200 and y=-100.

 

So, plot the lines and then describe them.  Are they vertical or horizontal?  Are they parallel or perpendicular?

 

Remember:

The x-intercept is the point where y=0. (x,0)

The y-intercept is the point where x=0. (0,y)

Horizontal lines have a slope of 0, but the slope of a vertical line is "undefined."

Answer 2

Describe the following graphs,
their slope,
their intercepts,
their graph:

y = 200;

All points have y-coordinate of 200 and x-coordinate any real number. So this is a horizontal line with slope, m = 0. It has a y-intercept of 200 and no x-intercept.

x = 200;

All points have x-coordinate of 200 and y-coordinate any real number. So this is a vertical line with an undefined slope: (y2-y1)/(200-200) = (y2-y1)/0 and divide by 0 is undefined. It has an x-intercept of 200 and no y-intercept.

y = -100; and
x = -150.

Are any of these parallel? Why?
Are any of these perpendicular? Why?

Try graphing them; remember that parallel lines do not intersect and perpendicular lines intersect in right angles.

Answer 3

 Are these graph of a line or coordinates of a point.

 

    Y = 200   ,  Y = -100     both are parallel with X -axis , and parallel with each other ( Slope undefined)

 

     X = -150 ,  X = 200   both are parallel with Y-axis ( slope =0)