Question

having trouble with graphing 7x − 9y ≥ 12

Answer 1

my answer is y≤ 7/9x + 4/3

Answer 2

(7x-12)/9≥y

Answer 3

The way I learned it was to use the slope to find a point using a trick that my teacher taught me to remember: Ryse/Run so for an equation such as y=7/9X I would have 0,0 and then the point 9,7. Since 9 is X simply add 1 1/3 to 7 and the 2 coordinate points would be 0,1 1/3 and 9,8 1/3.

Answer 4

This will always work and it's fast.
rewrite in the form y =
first find the boundary when =
the points to use when x = 0 and when y = 0
pick a value of x and see where y lies in relation to the desired inequality

Answer 5

7x − 9y ≥ 12
y =-7/9 x - 12/9
when x = 0 y = -4/3
when y = 0 x = 12/7
you have 2 points now draw the line when =
pick an x value and check the inequality y>

Answer 6

@math425 do you need more help or can you do the graph now?

Answer 7

I think I have it. I really appreciate you taking the time to help. Thank you!

Answer 8

Let me write up something just to make it even clearer

Answer 9

1. First find the x and y intercepts: ( I know @trichaal provided this)
When x = 0, y = -4/3
When y = 0, x = 12/7

2. Plot the points (0, -4/3) and (12/7, 0)
https://www.desmos.com/calculator/mhq4hsncnh

3. Draw the line 7x - 9y = 12
https://www.desmos.com/calculator/bmflj1hyzm

4. Test the point (0,0)
If true, then shade the part that includes the origin
If false, shade the part that doesn't include the origin

7(0) - 9(0) ≥ 12
0 ≥ 12 False

5. Shade the part of the xy plane to the right of 7x - 9y ≥ 12:
https://www.desmos.com/calculator/zlyzbsnb8v

Answer 10

@math425

Answer 11

okay got it thanks so much.