don't quite understand how to go about finding the answer to this problem. I have to find two different points for a line, graph it, and also above or below the line to show the relationship. How do I go about doing this?

The equation is: 3y-8x >24

Thank you so much!

Consider the equation 3y - 8x = 24

it is easy to find the intercepts, that would give you two points to determine the boundary line
let x=0 , then y = -3 ---> point (0,8)
let y = 0 , then x = 8 ---> point (-3,0)

joint these two points with a dotted line
shade in the region above the line.

(the original can be changed to
3y > 8x + 24
y > (8/3)x + 8

If y > mx + b, shade the region ABOVE the corresponding line
if y < mx + b , shade the region BELOW the line )

log 1

12
evaluate the expression
in not sure how to sove for this

To find two points for a line, you can start by assigning a value to one variable and solving for the other variable.

Let's first choose a value for x.

For example, let's set x = 0. We can substitute this value into the equation and solve for y:

3y - 8(0) > 24
3y > 24
y > 24/3
y > 8

So, one point on the line would be (0, 8).

Now, let's choose a different value for x.

For example, let's set x = 3. Substituting this value into the equation:

3y - 8(3) > 24
3y - 24 > 24
3y > 24 + 24
3y > 48
y > 48/3
y > 16

So, another point on the line would be (3, 16).

To graph the line, plot these two points on a coordinate plane. Connect the points with a straight line. Since the inequality is "greater than" (>) the line will be dashed to indicate that the points on the line itself are not included in the solution.

To show the relationship "above or below" the line, you can choose any point not on the line and substitute its coordinates into the inequality. If the inequality is true, the point is above the line; otherwise, it's below.

For example, let's test the point (2, 10):

3(10) - 8(2) > 24
30 - 16 > 24
14 > 24

Since 14 is not greater than 24, the point (2, 10) is below the line.

Similarly, you can test any other points to determine if they are above or below the line.