## calculusxy one year ago How would I graph 2x + 3y = 6

1. calculusxy

@jim_thompson5910

2. calculusxy

@satellite73

3. jim_thompson5910

if x = 0, then what is the value of y?

4. calculusxy

0 + 3y = 6 y = 2

5. jim_thompson5910

so (0,2) is one point on the graph

6. jim_thompson5910

if y = 0, then x = ??

7. calculusxy

x = 3

8. jim_thompson5910

(3,0) is the second point you need just 2 points to graph a linear equation

9. calculusxy

I mean I need help using it "algebraically"

10. jim_thompson5910

you mean solving 2x + 3y = 6 for y?

11. calculusxy

2x + 3y = 6 2x - 2x + 3y = 6 - 2x 3y = 6 - 2x

12. calculusxy

But I am having confusions solving it from there.

13. jim_thompson5910

to isolate y in 3y = 6-2x, divide both sides by 3

14. calculusxy

So it would be y = 2 - 2/3x ?

15. jim_thompson5910

yes $\Large y = -\frac{2}{3}x + 2$

16. calculusxy

Why did you switch it ?

17. calculusxy

Like is it necessary to do that?

18. jim_thompson5910

I placed it into y = mx+b form

19. jim_thompson5910

no it's not mandatory

20. calculusxy

Okay thanks :)

21. jim_thompson5910

np