Question:
help on a math question?
anonymous
2008-03-15 15:56:28 UTC
how do you graph y=3x+1

please help me!!
Eight answers:
anonymous
2008-03-15 16:01:56 UTC
well since 3/1 is the slope and the y intercept is 1, i would start at the point 0,1 on a graph (with 4 quardrants) and go up three, and then to the right one...keep going and you got a line.
duffy
2008-03-15 23:04:26 UTC
The normal positioning of an x-y graph is for the x axis to be the horizontal (east-west) line and for the y-axis to be the vertical (north-south) line. With this in mind, I recomment making a table of values:

Let x = 0 and find y: y = 3(0) + 1 = 1 so when x has a value of 1, y has a value of 0. Plot the point. Starting at the origin, (which is where x and y are both zero, go one unit upward on your vertical line. This is the point (0, 1).



Now let x have another value, say 1. When x = 1, what is y?

y = 3(1) + 1 = 4 so you have a second point (1, 4).



Begin at your origin (or the center of your graph). Go one unit to the right along your horizontal line, then 4 units upward and plot another point. This point is (1, 4).



Since your graph is a straight line, you only need two points. Draw a line between these two points. It is always a good idea to select another value for x and solve for y to be sure this is colinear. If not, this tells you that you have an error.



You can also use the slope-intercept method to draw a graph but you didn't say what math level class you have.
?
2008-03-15 23:09:20 UTC
This is a linear equation(no variable higher than^1)

All linear equations are straight lines.

To graph a straight line, you need only 2 points

For y=3x+1

Let x=0, then y=3(0)+1,y=1, Point is (0,1)

Let y=0, then 3x= -1, x= -1/3, Point is (-1/3,0)

Plot these 2 points.

Draw a line through the 2 points.

You're done.

You can use ANY x or y values to find 2 points

Pick x=3, then y=3(3)+1, =10, Point is (3,10)

Pick x=6, y=3(6)+1, =19, Point is (6,19)

Plot these, you get the same line.

We usually pick x=0 and y=0 because the arithmetic

is easier, but as I say, it works with any chosen value.
sayamiam
2008-03-15 23:03:52 UTC
It follows the form of Y=mx+b.



m= slope

b= y-intercept

x,y = the x and y coordinates.



You begin with the b, or the 1 in this case. Since it is the Y intercept you go up one unit on the y axis. With this as your starting position you follow the slope, the m..

in this case it is 3, (3/1).

Slope is rise over run, seeing as how 3 = 3/1 the rise is 3 and the run is 1.



Starting from 1 on the y axis (0,1), you go up 3 units and then right one to (1,4).



Continue to (2,7), then connect the points in both directions.
anonymous
2008-03-15 23:21:42 UTC
3 is the slope



y is on the 1



so.. make sur to graph a dot on positive one and from there go up 3 and move to the right one..
?
2008-03-15 23:03:32 UTC
The y axis is the vertical line (called the ordinate) and the x axis is the horizontal line (called the abscissa). To graph the equation, create a truth table.

x | y

1...4

2...7

3...10



A 1st order equation is a straight line so, really, only two points are required.



Clear? Good luck!
Latiino Babiie-x
2008-03-15 23:01:40 UTC
You Go Across 3 And Up 1
anonymous
2008-03-16 21:06:48 UTC
make a x y table then put the coordinates together to make a graph


This content was originally posted on Y! Answers, a Q&A website that shut down in 2021.
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