The equation below represents function a and the graph represents function b:

function a

f(x) = x - 9

function b

graph of line going through ordered pairs negative 1, negative 3 and 2, 3

which equation best compares the slopes of the two functions?

slope of function b = 2 x slope of function a.
slope of function a = slope of function b
slope of function a = 2 x slope of function b
slope of function b = - slope of function a

The correct option is A., i.e, Slope of Function B = 2 x Slope of Function A.

Explanation:

The given function is,

It can be written as,

It is the slope intercept form like y=mx+c, where m is the slope. On comparing the f(x) with the slope intercept form, we get the slope of f(x) is 1.

The graph of function g(x) passing through the point (-1,-3) and (2,3).

If a line passing through the points and , then the slope of line is,

The slope of g(x) is 2.

Since slope of f(x) is 1 and the slope of g(x) is 2, so we can say that the slope of function B is twice of slope of function A.

Slope of Function B = 2 x Slope of Function A

Therefore, the first option is correct.

The answer is A... yeet                                      

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.