Attention Math Geniuses!?

Question

Can any of you guys out there help me with an Algebra problem? Please, if you can, state a step-by-step guide that can be easily understood. Thanks!

This is the problem (directions are stated):

Graph each Linear Equation(s):

x + 2y = 6

- Thanks in advance!

Answer 1

You have two choices...

Option 1) Pick some points for x, plug them in to find the matching y point, then plot those on the graph and connect the dots.

Ex:
x = 2
so...
2 + 2y = 6
2y = 4
y = 2

and
x = 4
so...
4 + 2y = 6
2y = 2
y = 1

Now, you have two points (2, 4) and (4, 2). Put those on the graph and connect them.

Option 2)
Put the equation in slope-intercept form...
x + 2y = 6
2y = -x + 6
y = (-1/2)x + 3

The y-intercept is 3, so you have the point (0, 3). The slope is (-1/2) which means, from the point you have, you go DOWN 1 spot and RIGHT 2 spots. There's your second point. Now just connect the dots.

Answer 2

x + 2y = 6
2y = 6 - x
y = 6/2 - x/2
y = 3 - ½x
Now take a few values for x and calculate the value of y. Then plot these points.
You could take x values of: -2, -1, 0, 1, 2.
For x = -2:
y = 3 - ½x
y = 3 - ½(-2)
y = 3 + 1
y = 4
This gives point(-2,4).

For x = -1:
y = 3 - ½x
y = 3 - ½(-1)
y = 3 + ½
y = 3∙5
This gives point (-1, 3∙5).
Continue the process to get more points and plot them and draw your line or curve (in this case it's a straight line).

Answer 3

You need ordered pairs (x, y) that make the equation (statement) true.

If you use a zero for x...

0 + 2y = 6

2y = 6

y = 3

The point (0, 3) is a solution

If you use y = 0

x + 3(0) = 6

x = 6

The solution is (6, 0)

Graph these two solutions and connect with a straight line. All the points on this line are solutions to this equation

Answer 4

Solve the equation for y:

y = -0.5x + 3

Then graph the equation by selecting a couple for x to get the corrisponding y:

(1) x = -5, y = 5.5
(2) x = 5, y = 0.5

Draw the two points a graph and draw a line between them.

Done.

Answer 5

Plotting a straight line graph:

Use graph paper or grid paper for accuracy.

Use X and Y as variables.

Give values to X and work out the values of Y, set these values in a table.

Place the axes in the most suitable position, to give the best presentation of the graph.

Choose a suitable scale.

Plot the points from your table of values.

Join the points to give a straight line.

Answer 6

You dont need a math genius, you need to pay attention!
x+2y=6 get y alone, subtract x from both sides
2y=-x+6
divide by 2
y=(-x+6)/2
x, y
-3,4.5
-2,4
-1,3.5
0,3
1,2.5
2,2
3,1.5
Just plug in a radom x value and you get a y value. Use these two points (x,y) on an axis, connect all the dots and you got yourself a line!

Answer 7

y = -1/2x + 6

your slope is -1/2

for x = 0 y = 6 (draw this point on your graph)
for y = 0 x = 12 (draw this point too)

connect those two points and you have your line

Answer 8

Just make value table x=0 then y=3 y=0 then x=6 now get your ruler out and draw line through your coordinates.
(0,3) and (6,0)

Answer 9

change the equation to an equation that =s y.
The equation should be y= -1/2x+3
Then take the y intercept (the three and plot it on the y axis)
Then plot the -1/2x which you should go down one and over 2.

Answer 10

(To draw a straight line , two points are required.)
Let x = 0 so y = 3----> Point (0,3)
Let y = 0 so x = 6----->Point (6,0)
The straight line can now be drawn through these two points.