Question

What is the slope of the following? 9x + 4y = -36

Answer 1

9x+4y=-36
-9x -9x
___________
4y=-9x-36
_________
4

y= -9/4-9

Answer 2

Answer:

Step-by-step explanation:

First find 2 points on the line.  To do this you will need to substitute numbers in for x and y.  Do this by first putting 0 in for x to find the value of y:

9(0) + 4y = -36

0 + 4y = -36       =  4y = -36   =        y = -36 ÷ 4 = -9     y= -9

(0,-9)

Now that we have that point substitute 0 in for y.

9x + 4(0) = -36

9x + 0 = -36   =    9x = -36     =    x = -36  ÷ 9    x = -4

(-4,0)

After you have your two points decide which on you want to be (x1,y1) and which you want to be (x2,y2).  It doesn't matter which one you choose.  You will then plug in your numbers into the slope formula:

       y2 - y1           -9 - 0         -9           The slope is - 9/4

       x2 - x1            0 - 4          -4