Question

how do you graph this equation
2x + 5y =10

Answer 1

By finding the x and y intercepts

Answer 2

ok so i subract 2x from both sides which equals 5y=-2x+10... then do i divide 5 by -2x and 10?

Answer 3

Basically, in order to plot a line, you need at least two points. Anytime you plot a line, one of the points will go through the x-axis, and the other will go through the y-axis.

Answer 4

wait how do i do it?

Answer 5

nvm

Answer 6

So you will have two points

point a = (x,y)
point b = (x,y)

Answer 7

Point a will be on the x-axis
Point b will be on the y-axis

If point a is on the x-axis, that means y = 0.
If point b is on the y-axis that means x = 0.

Answer 8

ummm i don't think so... i'm pretty sure its something like the way I was doing it but idk

Answer 9

There's always more than one way. I'm trying to show you the easy way to do it.

Answer 10

so how do u plug the number in and graph it in this equation form?

Answer 11

Just let me show you

Answer 12

ok(:

Answer 13

So as I was saying:

Point a will be on the x-axis
Point b will be on the y-axis

If point a is on the x-axis, that means y = 0.
If point b is on the y-axis that means x = 0.

Answer 14

So basically, we know the y coordinate of point a and the x coordinate of point b:

Point a = (x,0)
Point b = (0,y)

Answer 15

What we have to do now now is find the remaining x and y coordinates of points a and b

Answer 16

To find the x coordinate of point a, substitute y = 0 into the formula like so:

2x + 5(0) =10

Answer 17

Now you can solve for x:
2x + 0 = 10
2x = 10
x = 10/2
x = 5

Answer 18

So that means

Point a = (5,0)

Are you with me so far?

Answer 19

yes

Answer 20

Okay, so now that we've found point a, we can proceed with finding point b. Remember, for point b, we already have the x-coordinate, x = 0, and we need to find the y - coordinate.

To find the y-coordinate, substitute x = 0 into the formula and solve for y:

2(0) + 5y = 10
5y = 10
y = 10/2
y = 5

So this means

point b = (0,5)

Answer 21

So now, we have two points

point a = (5,0)
point b = (0,5)

All you have to do now is take some graphing paper, plot both points, take a ruler and draw a line through the points. Don't forget to label the line 2x + 5y = 10.

You're done!

Answer 22

I hope I didn't lose you