The slope and y-intercept of the relation represented by the equation 12x – 9y + 2 = 0 are

12x-9y +2 =0

-12x-2 = -9y
-12x/-9 -2/-9 = -9y/-9
y = 4x/3+2/9

The slope is 4/3 and y-intercept is (0, 2/9)

Well, I have to hand it to you for bringing up this equation! It's like a puzzle just waiting to be solved. Let's get cracking, shall we?

To find the slope and y-intercept of this equation, we need to rearrange it into slope-intercept form, which is in the format y = mx + b. "m" represents the slope, while "b" represents the y-intercept.

Starting with your equation, 12x - 9y + 2 = 0, let's isolate the y-term:

-9y = -12x - 2

Now, let's divide everything by -9 to get "y" all by itself:

y = (12/9)x + 2/9

And voila! We have it in slope-intercept form. So, the slope is 12/9 (which reduces to 4/3) and the y-intercept is 2/9.

Now, I know it might not be the most hilarious answer, but hopefully it has brightened up your day just a tiny bit!

To find the slope and y-intercept of the relation represented by the equation 12x - 9y + 2 = 0, we need to rewrite the equation in slope-intercept form, which is y = mx + b.


Step 1: Starting with the given equation, rearrange it to isolate y.
12x - 9y + 2 = 0
-9y = -12x - 2 (subtract 12x from both sides)
y = (12/9)x + (2/9) (divide both sides by -9)

The equation is now in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Therefore, the slope of the relation is 12/9, which simplifies to 4/3, and the y-intercept is 2/9.

To find the slope and y-intercept of the relation represented by the equation, we need to rewrite the equation in slope-intercept form, which is in the form of y = mx + b. The slope (m) will be the coefficient of x, and the y-intercept (b) will be the constant term.

Given equation: 12x - 9y + 2 = 0

Step 1: Move the term with the y variable to the other side of the equation.

12x - 9y = -2

Step 2: Divide the entire equation by the coefficient of y to isolate y and make the coefficient of y equal to 1.

-9y = -12x - 2

Divide both sides by -9:

y = (12/9)x + 2/9

Simplify the equation:

y = (4/3)x + 2/9

Now, we have the equation in slope-intercept form, y = mx + b.

The slope is the coefficient of x, which is 4/3.

The y-intercept is the constant term, which is 2/9.

Therefore, the slope of the relation is 4/3, and the y-intercept is 2/9.