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

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            

nswer: a   y-axis

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.