Question

What is the slope of the line 12y-9x=25?

-9
3/4
4/3
25/12
9

Answer 1

The slope of the line would be 3/4.


First, you would convert the equation into slope intercept form. To do this, you would add 9x to both sides of the equation (as shown below).

12y-9x=25
+9x +9x
____________

12y=9x+25

(we cannot directly add 9x and 25 because they are not like terms)

next, you would divide both sides by 12 (as shown below).


12y=9x+25
__ ______
12 12
__________

Y= 9/12×+25/12

y= 3/4x+2.08

(12 and 12 cancel each other out when divided by each other.)
(3/4 is just the simplified version of 9/12)

Answer 2

3/4

Explanation:

12y-9x=25

We need to get y alone so the equation is in the form

y= mx +b where m is the slope and b is the y intercept

12y-9x=25

Add 9x to each side

12y-9x+9x=9x+25

12y = 9x+25

Divide by 12

12y/12 = 9x/12 +25/12

y = 3/4x +25/12

The slope is 3/4 and the y intercept is 25/12