how do you plot 4,6 with a slope of 2?

Question

I am having a lot of problems with graphing linear equations.

Answer 1

If you're asked to graph a line that passes through the point (4,6) with slope 2, you start by plotting the point given.

 

(4, 6) is the point that is 4 units to the right and 6 units up from the origin.

 

Your slope is m = 2 = 2 / 1. You can think of slope as "rise over run" (rise / run). With a slope of 2 / 1, this means that your next point will "rise" 2 units up, and "run" 1 unit right from your previous point.

Starting at (4, 6), count two units up, and one right, and plot your point. It should be at (5, 8). You can continue this if you like, getting the points (6, 10), (7, 11), and so on.

 

--

 

These points are getting fairly high above the x-axis, so you might want to plot some points in the other direction. You can reverse both directions of a slope and still get the same line.

 

Right now you have,

"rise" 2 units up, "run" 1 unit right

 

Switching both directions, you get

"rise" 2 units down, "run" 1 unit left

 

If you got 2 units down and 1 unit left from your original point, you'll be at (3, 4). Do it another time, and you'll be at (2, 2). If you've plotted all of these points accurately, you should see that they form a straight line.

Answer 2

Hello there, Patricia

 

OK.. if I understand your question correctly, start at the origin (the middle of the graph), move straight up 4 units, and the move to the right 6 units.  Plot a point there.  This point is (4,6).  Since the slope is 2.  Make it into a fraction 2/1.  Remember the slope is the raise over the run.  So, from point (4,6) move straight up to units. And the move one unit to the right.  So, you should be at point (5,8).. Now connect to two points.  Remember, this is a line and not a line segment.  So, don't stop at (4,6) of (5,8).. but keep going.. and put arrows at the end. 

 

Well, Patricia, I hope this helps you out.  If you still confuse post your question, and someone will answer your question.. take care.. and please rate my answer :)

 

D. Y. Taylor

Answer 3

Patricia, I am assuming you mean (4,6).  Since x = 4 and y = 6, then you go right 4 and up 6 for your point.

 

The slope is rise/run, or vertical/horizontal.

 

Since our slope is 2, it's 2/1 in fraction form, meaning up 2 and right 1.  Our next point is then (5,8).

 

Since -2/-1 also equals 2, we can go down 2 and left 1.  Another point is (3,4).

 

Keep going in both directions!  Make sense?